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Finding the Fourth Proportional to 103,743.80, 155,615.70 and 101,439.80

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Solution

The fourth proportional to 103,743.80, 155,615.70 and 101,439.80 is: 152,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,743.80 : 155,615.70 = 101,439.80 : x
  2. Step 2: Convert to fraction form
    103,743.80/155,615.70 = 101,439.80/x
  3. Step 3: Cross multiply
    103,743.80x = 155,615.70 × 101,439.80
  4. Step 4: Simplify right side
    103,743.80x = 15,785,625,484.86
  5. Step 5: Solve for x
    x = 15,785,625,484.86/103,743.80
  6. Step 6: Final answer
    x = 152,159.70

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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.