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Finding the Fourth Proportional to 99,390.84, 137,164.14 and 56,949.48

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Solution

The fourth proportional to 99,390.84, 137,164.14 and 56,949.48 is: 78,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,390.84 : 137,164.14 = 56,949.48 : x
  2. Step 2: Convert to fraction form
    99,390.84/137,164.14 = 56,949.48/x
  3. Step 3: Cross multiply
    99,390.84x = 137,164.14 × 56,949.48
  4. Step 4: Simplify right side
    99,390.84x = 7,811,426,447.65
  5. Step 5: Solve for x
    x = 7,811,426,447.65/99,390.84
  6. Step 6: Final answer
    x = 78,593.02

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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.