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Finding the Fourth Proportional to 56,489.94, 77,956.16 and 31,339.44

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Solution

The fourth proportional to 56,489.94, 77,956.16 and 31,339.44 is: 43,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489.94 : 77,956.16 = 31,339.44 : x
  2. Step 2: Convert to fraction form
    56,489.94/77,956.16 = 31,339.44/x
  3. Step 3: Cross multiply
    56,489.94x = 77,956.16 × 31,339.44
  4. Step 4: Simplify right side
    56,489.94x = 2,443,102,242.25
  5. Step 5: Solve for x
    x = 2,443,102,242.25/56,489.94
  6. Step 6: Final answer
    x = 43,248.45

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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.