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Finding the Fourth Proportional to 65,319.40, 97,760.40 and 57,446.20

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Solution

The fourth proportional to 65,319.40, 97,760.40 and 57,446.20 is: 85,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,319.40 : 97,760.40 = 57,446.20 : x
  2. Step 2: Convert to fraction form
    65,319.40/97,760.40 = 57,446.20/x
  3. Step 3: Cross multiply
    65,319.40x = 97,760.40 × 57,446.20
  4. Step 4: Simplify right side
    65,319.40x = 5,615,963,490.48
  5. Step 5: Solve for x
    x = 5,615,963,490.48/65,319.40
  6. Step 6: Final answer
    x = 85,976.96

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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.