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Finding the Fourth Proportional to 52,666.34, 72,664.90 and 31,437.86

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Solution

The fourth proportional to 52,666.34, 72,664.90 and 31,437.86 is: 43,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,666.34 : 72,664.90 = 31,437.86 : x
  2. Step 2: Convert to fraction form
    52,666.34/72,664.90 = 31,437.86/x
  3. Step 3: Cross multiply
    52,666.34x = 72,664.90 × 31,437.86
  4. Step 4: Simplify right side
    52,666.34x = 2,284,428,511.19
  5. Step 5: Solve for x
    x = 2,284,428,511.19/52,666.34
  6. Step 6: Final answer
    x = 43,375.50

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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.