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Finding the Fourth Proportional to 137,468.88, 189,701.32 and 77,852.88

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Solution

The fourth proportional to 137,468.88, 189,701.32 and 77,852.88 is: 107,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,468.88 : 189,701.32 = 77,852.88 : x
  2. Step 2: Convert to fraction form
    137,468.88/189,701.32 = 77,852.88/x
  3. Step 3: Cross multiply
    137,468.88x = 189,701.32 × 77,852.88
  4. Step 4: Simplify right side
    137,468.88x = 14,768,794,101.80
  5. Step 5: Solve for x
    x = 14,768,794,101.80/137,468.88
  6. Step 6: Final answer
    x = 107,433.73

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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.