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Finding the Fourth Proportional to 145,433.76, 218,019.42 and 101,081.40

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Solution

The fourth proportional to 145,433.76, 218,019.42 and 101,081.40 is: 151,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,433.76 : 218,019.42 = 101,081.40 : x
  2. Step 2: Convert to fraction form
    145,433.76/218,019.42 = 101,081.40/x
  3. Step 3: Cross multiply
    145,433.76x = 218,019.42 × 101,081.40
  4. Step 4: Simplify right side
    145,433.76x = 22,037,708,200.79
  5. Step 5: Solve for x
    x = 22,037,708,200.79/145,433.76
  6. Step 6: Final answer
    x = 151,530.90

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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.