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Finding the Fourth Proportional to 161,472.86, 242,052.14 and 77,211.26

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Solution

The fourth proportional to 161,472.86, 242,052.14 and 77,211.26 is: 115,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,472.86 : 242,052.14 = 77,211.26 : x
  2. Step 2: Convert to fraction form
    161,472.86/242,052.14 = 77,211.26/x
  3. Step 3: Cross multiply
    161,472.86x = 242,052.14 × 77,211.26
  4. Step 4: Simplify right side
    161,472.86x = 18,689,149,504.84
  5. Step 5: Solve for x
    x = 18,689,149,504.84/161,472.86
  6. Step 6: Final answer
    x = 115,741.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.