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Finding the Fourth Proportional to 187,542, 258,798.02 and 102,642.64

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Solution

The fourth proportional to 187,542, 258,798.02 and 102,642.64 is: 141,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,542 : 258,798.02 = 102,642.64 : x
  2. Step 2: Convert to fraction form
    187,542/258,798.02 = 102,642.64/x
  3. Step 3: Cross multiply
    187,542x = 258,798.02 × 102,642.64
  4. Step 4: Simplify right side
    187,542x = 26,563,711,999.57
  5. Step 5: Solve for x
    x = 26,563,711,999.57/187,542
  6. Step 6: Final answer
    x = 141,641.40

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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.