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Finding the Fourth Proportional to 85,784, 118,386.78 and 48,070.40

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Solution

The fourth proportional to 85,784, 118,386.78 and 48,070.40 is: 66,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,784 : 118,386.78 = 48,070.40 : x
  2. Step 2: Convert to fraction form
    85,784/118,386.78 = 48,070.40/x
  3. Step 3: Cross multiply
    85,784x = 118,386.78 × 48,070.40
  4. Step 4: Simplify right side
    85,784x = 5,690,899,869.31
  5. Step 5: Solve for x
    x = 5,690,899,869.31/85,784
  6. Step 6: Final answer
    x = 66,339.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.