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Finding the Fourth Proportional to 142,909.94, 197,217.72 and 78,384.80

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Solution

The fourth proportional to 142,909.94, 197,217.72 and 78,384.80 is: 108,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,909.94 : 197,217.72 = 78,384.80 : x
  2. Step 2: Convert to fraction form
    142,909.94/197,217.72 = 78,384.80/x
  3. Step 3: Cross multiply
    142,909.94x = 197,217.72 × 78,384.80
  4. Step 4: Simplify right side
    142,909.94x = 15,458,871,538.66
  5. Step 5: Solve for x
    x = 15,458,871,538.66/142,909.94
  6. Step 6: Final answer
    x = 108,172.12

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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.