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Finding the Fourth Proportional to 81,433.71, 122,130.90 and 34,023.18

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Solution

The fourth proportional to 81,433.71, 122,130.90 and 34,023.18 is: 51,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,433.71 : 122,130.90 = 34,023.18 : x
  2. Step 2: Convert to fraction form
    81,433.71/122,130.90 = 34,023.18/x
  3. Step 3: Cross multiply
    81,433.71x = 122,130.90 × 34,023.18
  4. Step 4: Simplify right side
    81,433.71x = 4,155,281,594.26
  5. Step 5: Solve for x
    x = 4,155,281,594.26/81,433.71
  6. Step 6: Final answer
    x = 51,026.55

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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.