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Finding the Fourth Proportional to 53,978.40, 80,866.08 and 36,417.60

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Solution

The fourth proportional to 53,978.40, 80,866.08 and 36,417.60 is: 54,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.40 : 80,866.08 = 36,417.60 : x
  2. Step 2: Convert to fraction form
    53,978.40/80,866.08 = 36,417.60/x
  3. Step 3: Cross multiply
    53,978.40x = 80,866.08 × 36,417.60
  4. Step 4: Simplify right side
    53,978.40x = 2,944,948,555.01
  5. Step 5: Solve for x
    x = 2,944,948,555.01/53,978.40
  6. Step 6: Final answer
    x = 54,557.91

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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.