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Finding the Fourth Proportional to 153,932.60, 230,931.30 and 65,140.40

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Solution

The fourth proportional to 153,932.60, 230,931.30 and 65,140.40 is: 97,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,932.60 : 230,931.30 = 65,140.40 : x
  2. Step 2: Convert to fraction form
    153,932.60/230,931.30 = 65,140.40/x
  3. Step 3: Cross multiply
    153,932.60x = 230,931.30 × 65,140.40
  4. Step 4: Simplify right side
    153,932.60x = 15,042,957,254.52
  5. Step 5: Solve for x
    x = 15,042,957,254.52/153,932.60
  6. Step 6: Final answer
    x = 97,724.31

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1.5x scale

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.