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Finding the Fourth Proportional to 56,489.49, 77,955.89 and 31,338.99

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Solution

The fourth proportional to 56,489.49, 77,955.89 and 31,338.99 is: 43,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489.49 : 77,955.89 = 31,338.99 : x
  2. Step 2: Convert to fraction form
    56,489.49/77,955.89 = 31,338.99/x
  3. Step 3: Cross multiply
    56,489.49x = 77,955.89 × 31,338.99
  4. Step 4: Simplify right side
    56,489.49x = 2,443,058,700.46
  5. Step 5: Solve for x
    x = 2,443,058,700.46/56,489.49
  6. Step 6: Final answer
    x = 43,248.02

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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.