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Finding the Fourth Proportional to 152,705.89, 210,744.10 and 88,177.85

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Solution

The fourth proportional to 152,705.89, 210,744.10 and 88,177.85 is: 121,691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,705.89 : 210,744.10 = 88,177.85 : x
  2. Step 2: Convert to fraction form
    152,705.89/210,744.10 = 88,177.85/x
  3. Step 3: Cross multiply
    152,705.89x = 210,744.10 × 88,177.85
  4. Step 4: Simplify right side
    152,705.89x = 18,582,961,638.19
  5. Step 5: Solve for x
    x = 18,582,961,638.19/152,705.89
  6. Step 6: Final answer
    x = 121,691.19

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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.