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Finding the Fourth Proportional to 56,650, 78,178.80 and 31,501.12

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Solution

The fourth proportional to 56,650, 78,178.80 and 31,501.12 is: 43,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,650 : 78,178.80 = 31,501.12 : x
  2. Step 2: Convert to fraction form
    56,650/78,178.80 = 31,501.12/x
  3. Step 3: Cross multiply
    56,650x = 78,178.80 × 31,501.12
  4. Step 4: Simplify right side
    56,650x = 2,462,719,760.26
  5. Step 5: Solve for x
    x = 2,462,719,760.26/56,650
  6. Step 6: Final answer
    x = 43,472.55

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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.