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Finding the Fourth Proportional to 142,655.52, 196,867.71 and 78,127.50

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Solution

The fourth proportional to 142,655.52, 196,867.71 and 78,127.50 is: 107,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,655.52 : 196,867.71 = 78,127.50 : x
  2. Step 2: Convert to fraction form
    142,655.52/196,867.71 = 78,127.50/x
  3. Step 3: Cross multiply
    142,655.52x = 196,867.71 × 78,127.50
  4. Step 4: Simplify right side
    142,655.52x = 15,380,782,013.03
  5. Step 5: Solve for x
    x = 15,380,782,013.03/142,655.52
  6. Step 6: Final answer
    x = 107,817.64

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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.