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Finding the Fourth Proportional to 81,889.81, 112,937.65 and 56,437.38

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Solution

The fourth proportional to 81,889.81, 112,937.65 and 56,437.38 is: 77,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,889.81 : 112,937.65 = 56,437.38 : x
  2. Step 2: Convert to fraction form
    81,889.81/112,937.65 = 56,437.38/x
  3. Step 3: Cross multiply
    81,889.81x = 112,937.65 × 56,437.38
  4. Step 4: Simplify right side
    81,889.81x = 6,373,904,928.26
  5. Step 5: Solve for x
    x = 6,373,904,928.26/81,889.81
  6. Step 6: Final answer
    x = 77,835.14

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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.