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Finding the Fourth Proportional to 132,218.35, 182,442.95 and 77,772.98

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Solution

The fourth proportional to 132,218.35, 182,442.95 and 77,772.98 is: 107,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,218.35 : 182,442.95 = 77,772.98 : x
  2. Step 2: Convert to fraction form
    132,218.35/182,442.95 = 77,772.98/x
  3. Step 3: Cross multiply
    132,218.35x = 182,442.95 × 77,772.98
  4. Step 4: Simplify right side
    132,218.35x = 14,189,132,260.38
  5. Step 5: Solve for x
    x = 14,189,132,260.38/132,218.35
  6. Step 6: Final answer
    x = 107,315.91

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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.