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Finding the Fourth Proportional to 77,141.68, 115,631.52 and 37,644.46

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Solution

The fourth proportional to 77,141.68, 115,631.52 and 37,644.46 is: 56,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,141.68 : 115,631.52 = 37,644.46 : x
  2. Step 2: Convert to fraction form
    77,141.68/115,631.52 = 37,644.46/x
  3. Step 3: Cross multiply
    77,141.68x = 115,631.52 × 37,644.46
  4. Step 4: Simplify right side
    77,141.68x = 4,352,886,129.38
  5. Step 5: Solve for x
    x = 4,352,886,129.38/77,141.68
  6. Step 6: Final answer
    x = 56,427.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.