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Finding the Fourth Proportional to 77,740.65, 116,619.31 and 21,581

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Solution

The fourth proportional to 77,740.65, 116,619.31 and 21,581 is: 32,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,740.65 : 116,619.31 = 21,581 : x
  2. Step 2: Convert to fraction form
    77,740.65/116,619.31 = 21,581/x
  3. Step 3: Cross multiply
    77,740.65x = 116,619.31 × 21,581
  4. Step 4: Simplify right side
    77,740.65x = 2,516,761,329.11
  5. Step 5: Solve for x
    x = 2,516,761,329.11/77,740.65
  6. Step 6: Final answer
    x = 32,373.81

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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.