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Finding the Fourth Proportional to 99,765.92, 137,705.76 and 58,967.84

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Solution

The fourth proportional to 99,765.92, 137,705.76 and 58,967.84 is: 81,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.92 : 137,705.76 = 58,967.84 : x
  2. Step 2: Convert to fraction form
    99,765.92/137,705.76 = 58,967.84/x
  3. Step 3: Cross multiply
    99,765.92x = 137,705.76 × 58,967.84
  4. Step 4: Simplify right side
    99,765.92x = 8,120,211,222.76
  5. Step 5: Solve for x
    x = 8,120,211,222.76/99,765.92
  6. Step 6: Final answer
    x = 81,392.64

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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.