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Finding the Fourth Proportional to 142,294.59, 196,367.13 and 77,765.13

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Solution

The fourth proportional to 142,294.59, 196,367.13 and 77,765.13 is: 107,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,294.59 : 196,367.13 = 77,765.13 : x
  2. Step 2: Convert to fraction form
    142,294.59/196,367.13 = 77,765.13/x
  3. Step 3: Cross multiply
    142,294.59x = 196,367.13 × 77,765.13
  4. Step 4: Simplify right side
    142,294.59x = 15,270,515,392.18
  5. Step 5: Solve for x
    x = 15,270,515,392.18/142,294.59
  6. Step 6: Final answer
    x = 107,316.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.