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Finding the Fourth Proportional to 142,130.76, 196,140.74 and 78,468.68

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Solution

The fourth proportional to 142,130.76, 196,140.74 and 78,468.68 is: 108,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,130.76 : 196,140.74 = 78,468.68 : x
  2. Step 2: Convert to fraction form
    142,130.76/196,140.74 = 78,468.68/x
  3. Step 3: Cross multiply
    142,130.76x = 196,140.74 × 78,468.68
  4. Step 4: Simplify right side
    142,130.76x = 15,390,904,962.02
  5. Step 5: Solve for x
    x = 15,390,904,962.02/142,130.76
  6. Step 6: Final answer
    x = 108,286.94

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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.