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Finding the Fourth Proportional to 116,280.60, 160,474.32 and 65,310

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Solution

The fourth proportional to 116,280.60, 160,474.32 and 65,310 is: 90,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,280.60 : 160,474.32 = 65,310 : x
  2. Step 2: Convert to fraction form
    116,280.60/160,474.32 = 65,310/x
  3. Step 3: Cross multiply
    116,280.60x = 160,474.32 × 65,310
  4. Step 4: Simplify right side
    116,280.60x = 10,480,577,839.20
  5. Step 5: Solve for x
    x = 10,480,577,839.20/116,280.60
  6. Step 6: Final answer
    x = 90,131.78

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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.