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Finding the Fourth Proportional to 102,388.52, 141,168.66 and 85,417.40

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Solution

The fourth proportional to 102,388.52, 141,168.66 and 85,417.40 is: 117,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,388.52 : 141,168.66 = 85,417.40 : x
  2. Step 2: Convert to fraction form
    102,388.52/141,168.66 = 85,417.40/x
  3. Step 3: Cross multiply
    102,388.52x = 141,168.66 × 85,417.40
  4. Step 4: Simplify right side
    102,388.52x = 12,058,259,898.68
  5. Step 5: Solve for x
    x = 12,058,259,898.68/102,388.52
  6. Step 6: Final answer
    x = 117,769.65

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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.