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Finding the Fourth Proportional to 99,423.84, 137,188.96 and 56,974.48

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Solution

The fourth proportional to 99,423.84, 137,188.96 and 56,974.48 is: 78,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,423.84 : 137,188.96 = 56,974.48 : x
  2. Step 2: Convert to fraction form
    99,423.84/137,188.96 = 56,974.48/x
  3. Step 3: Cross multiply
    99,423.84x = 137,188.96 × 56,974.48
  4. Step 4: Simplify right side
    99,423.84x = 7,816,269,657.74
  5. Step 5: Solve for x
    x = 7,816,269,657.74/99,423.84
  6. Step 6: Final answer
    x = 78,615.65

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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.