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Finding the Fourth Proportional to 99,812.64, 137,733.17 and 56,780.68

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Solution

The fourth proportional to 99,812.64, 137,733.17 and 56,780.68 is: 78,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,812.64 : 137,733.17 = 56,780.68 : x
  2. Step 2: Convert to fraction form
    99,812.64/137,733.17 = 56,780.68/x
  3. Step 3: Cross multiply
    99,812.64x = 137,733.17 × 56,780.68
  4. Step 4: Simplify right side
    99,812.64x = 7,820,583,051.16
  5. Step 5: Solve for x
    x = 7,820,583,051.16/99,812.64
  6. Step 6: Final answer
    x = 78,352.63

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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.