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Finding the Fourth Proportional to 145,695.20, 218,422.80 and 65,738.40

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Solution

The fourth proportional to 145,695.20, 218,422.80 and 65,738.40 is: 98,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,695.20 : 218,422.80 = 65,738.40 : x
  2. Step 2: Convert to fraction form
    145,695.20/218,422.80 = 65,738.40/x
  3. Step 3: Cross multiply
    145,695.20x = 218,422.80 × 65,738.40
  4. Step 4: Simplify right side
    145,695.20x = 14,358,765,395.52
  5. Step 5: Solve for x
    x = 14,358,765,395.52/145,695.20
  6. Step 6: Final answer
    x = 98,553.46

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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.