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Finding the Fourth Proportional to 56,232, 77,600.25 and 31,081.50

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Solution

The fourth proportional to 56,232, 77,600.25 and 31,081.50 is: 42,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,232 : 77,600.25 = 31,081.50 : x
  2. Step 2: Convert to fraction form
    56,232/77,600.25 = 31,081.50/x
  3. Step 3: Cross multiply
    56,232x = 77,600.25 × 31,081.50
  4. Step 4: Simplify right side
    56,232x = 2,411,932,170.38
  5. Step 5: Solve for x
    x = 2,411,932,170.38/56,232
  6. Step 6: Final answer
    x = 42,892.52

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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.