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Finding the Fourth Proportional to 99,812.83, 137,733.43 and 56,780.87

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Solution

The fourth proportional to 99,812.83, 137,733.43 and 56,780.87 is: 78,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,812.83 : 137,733.43 = 56,780.87 : x
  2. Step 2: Convert to fraction form
    99,812.83/137,733.43 = 56,780.87/x
  3. Step 3: Cross multiply
    99,812.83x = 137,733.43 × 56,780.87
  4. Step 4: Simplify right side
    99,812.83x = 7,820,623,568.17
  5. Step 5: Solve for x
    x = 7,820,623,568.17/99,812.83
  6. Step 6: Final answer
    x = 78,352.89

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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.