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Finding the Fourth Proportional to 64,972.86, 97,380.80 and 31,642.98

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Solution

The fourth proportional to 64,972.86, 97,380.80 and 31,642.98 is: 47,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.86 : 97,380.80 = 31,642.98 : x
  2. Step 2: Convert to fraction form
    64,972.86/97,380.80 = 31,642.98/x
  3. Step 3: Cross multiply
    64,972.86x = 97,380.80 × 31,642.98
  4. Step 4: Simplify right side
    64,972.86x = 3,081,418,706.78
  5. Step 5: Solve for x
    x = 3,081,418,706.78/64,972.86
  6. Step 6: Final answer
    x = 47,426.24

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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.