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Finding the Fourth Proportional to 142,265.16, 213,531.72 and 72,194.76

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Solution

The fourth proportional to 142,265.16, 213,531.72 and 72,194.76 is: 108,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,265.16 : 213,531.72 = 72,194.76 : x
  2. Step 2: Convert to fraction form
    142,265.16/213,531.72 = 72,194.76/x
  3. Step 3: Cross multiply
    142,265.16x = 213,531.72 × 72,194.76
  4. Step 4: Simplify right side
    142,265.16x = 15,415,871,277.79
  5. Step 5: Solve for x
    x = 15,415,871,277.79/142,265.16
  6. Step 6: Final answer
    x = 108,360.13

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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.