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Finding the Fourth Proportional to 65,144.86, 97,737.13 and 31,860.08

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Solution

The fourth proportional to 65,144.86, 97,737.13 and 31,860.08 is: 47,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144.86 : 97,737.13 = 31,860.08 : x
  2. Step 2: Convert to fraction form
    65,144.86/97,737.13 = 31,860.08/x
  3. Step 3: Cross multiply
    65,144.86x = 97,737.13 × 31,860.08
  4. Step 4: Simplify right side
    65,144.86x = 3,113,913,248.20
  5. Step 5: Solve for x
    x = 3,113,913,248.20/65,144.86
  6. Step 6: Final answer
    x = 47,799.83

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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.