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Finding the Fourth Proportional to 99,398.80, 137,178.12 and 56,967.76

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Solution

The fourth proportional to 99,398.80, 137,178.12 and 56,967.76 is: 78,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,398.80 : 137,178.12 = 56,967.76 : x
  2. Step 2: Convert to fraction form
    99,398.80/137,178.12 = 56,967.76/x
  3. Step 3: Cross multiply
    99,398.80x = 137,178.12 × 56,967.76
  4. Step 4: Simplify right side
    99,398.80x = 7,814,730,217.41
  5. Step 5: Solve for x
    x = 7,814,730,217.41/99,398.80
  6. Step 6: Final answer
    x = 78,619.97

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1.5x scale

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.