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Finding the Fourth Proportional to 144,707.40, 216,988.20 and 85,561.20

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Solution

The fourth proportional to 144,707.40, 216,988.20 and 85,561.20 is: 128,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,707.40 : 216,988.20 = 85,561.20 : x
  2. Step 2: Convert to fraction form
    144,707.40/216,988.20 = 85,561.20/x
  3. Step 3: Cross multiply
    144,707.40x = 216,988.20 × 85,561.20
  4. Step 4: Simplify right side
    144,707.40x = 18,565,770,777.84
  5. Step 5: Solve for x
    x = 18,565,770,777.84/144,707.40
  6. Step 6: Final answer
    x = 128,298.70

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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.