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Finding the Fourth Proportional to 153,658.49, 212,033.16 and 85,669.02

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Solution

The fourth proportional to 153,658.49, 212,033.16 and 85,669.02 is: 118,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,658.49 : 212,033.16 = 85,669.02 : x
  2. Step 2: Convert to fraction form
    153,658.49/212,033.16 = 85,669.02/x
  3. Step 3: Cross multiply
    153,658.49x = 212,033.16 × 85,669.02
  4. Step 4: Simplify right side
    153,658.49x = 18,164,673,024.70
  5. Step 5: Solve for x
    x = 18,164,673,024.70/153,658.49
  6. Step 6: Final answer
    x = 118,214.58

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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.