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Finding the Fourth Proportional to 292,002, 402,962.88 and 157,866

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Solution

The fourth proportional to 292,002, 402,962.88 and 157,866 is: 217,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,002 : 402,962.88 = 157,866 : x
  2. Step 2: Convert to fraction form
    292,002/402,962.88 = 157,866/x
  3. Step 3: Cross multiply
    292,002x = 402,962.88 × 157,866
  4. Step 4: Simplify right side
    292,002x = 63,614,138,014.08
  5. Step 5: Solve for x
    x = 63,614,138,014.08/292,002
  6. Step 6: Final answer
    x = 217,855.14

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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.