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Finding the Fourth Proportional to 77,689.80, 116,509.19 and 24,381.68

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Solution

The fourth proportional to 77,689.80, 116,509.19 and 24,381.68 is: 36,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,689.80 : 116,509.19 = 24,381.68 : x
  2. Step 2: Convert to fraction form
    77,689.80/116,509.19 = 24,381.68/x
  3. Step 3: Cross multiply
    77,689.80x = 116,509.19 × 24,381.68
  4. Step 4: Simplify right side
    77,689.80x = 2,840,689,083.18
  5. Step 5: Solve for x
    x = 2,840,689,083.18/77,689.80
  6. Step 6: Final answer
    x = 36,564.51

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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.