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Finding the Fourth Proportional to 74,032.50, 102,164.85 and 40,498.50

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Solution

The fourth proportional to 74,032.50, 102,164.85 and 40,498.50 is: 55,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,032.50 : 102,164.85 = 40,498.50 : x
  2. Step 2: Convert to fraction form
    74,032.50/102,164.85 = 40,498.50/x
  3. Step 3: Cross multiply
    74,032.50x = 102,164.85 × 40,498.50
  4. Step 4: Simplify right side
    74,032.50x = 4,137,523,177.73
  5. Step 5: Solve for x
    x = 4,137,523,177.73/74,032.50
  6. Step 6: Final answer
    x = 55,887.93

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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.