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Finding the Fourth Proportional to 72,977.76, 109,466.80 and 41,791.20

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Solution

The fourth proportional to 72,977.76, 109,466.80 and 41,791.20 is: 62,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.76 : 109,466.80 = 41,791.20 : x
  2. Step 2: Convert to fraction form
    72,977.76/109,466.80 = 41,791.20/x
  3. Step 3: Cross multiply
    72,977.76x = 109,466.80 × 41,791.20
  4. Step 4: Simplify right side
    72,977.76x = 4,574,748,932.16
  5. Step 5: Solve for x
    x = 4,574,748,932.16/72,977.76
  6. Step 6: Final answer
    x = 62,686.89

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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.