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Finding the Fourth Proportional to 128,965.92, 193,332.10 and 45,840.48

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Solution

The fourth proportional to 128,965.92, 193,332.10 and 45,840.48 is: 68,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,965.92 : 193,332.10 = 45,840.48 : x
  2. Step 2: Convert to fraction form
    128,965.92/193,332.10 = 45,840.48/x
  3. Step 3: Cross multiply
    128,965.92x = 193,332.10 × 45,840.48
  4. Step 4: Simplify right side
    128,965.92x = 8,862,436,263.41
  5. Step 5: Solve for x
    x = 8,862,436,263.41/128,965.92
  6. Step 6: Final answer
    x = 68,719.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.