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Finding the Fourth Proportional to 81,959.70, 122,897.27 and 37,548.40

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Solution

The fourth proportional to 81,959.70, 122,897.27 and 37,548.40 is: 56,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,959.70 : 122,897.27 = 37,548.40 : x
  2. Step 2: Convert to fraction form
    81,959.70/122,897.27 = 37,548.40/x
  3. Step 3: Cross multiply
    81,959.70x = 122,897.27 × 37,548.40
  4. Step 4: Simplify right side
    81,959.70x = 4,614,595,565.10
  5. Step 5: Solve for x
    x = 4,614,595,565.10/81,959.70
  6. Step 6: Final answer
    x = 56,303.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.