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Finding the Fourth Proportional to 99,853,784.80, 139,984,042.40 and 99,853,784.80

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Solution

The fourth proportional to 99,853,784.80, 139,984,042.40 and 99,853,784.80 is: 139,984,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,853,784.80 : 139,984,042.40 = 99,853,784.80 : x
  2. Step 2: Convert to fraction form
    99,853,784.80/139,984,042.40 = 99,853,784.80/x
  3. Step 3: Cross multiply
    99,853,784.80x = 139,984,042.40 × 99,853,784.80
  4. Step 4: Simplify right side
    99,853,784.80x = 13,977,936,445,243,676
  5. Step 5: Solve for x
    x = 13,977,936,445,243,676/99,853,784.80
  6. Step 6: Final answer
    x = 139,984,042.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.