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Finding the Fourth Proportional to 81,465.75, 122,264.24 and 42,034.14

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Solution

The fourth proportional to 81,465.75, 122,264.24 and 42,034.14 is: 63,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465.75 : 122,264.24 = 42,034.14 : x
  2. Step 2: Convert to fraction form
    81,465.75/122,264.24 = 42,034.14/x
  3. Step 3: Cross multiply
    81,465.75x = 122,264.24 × 42,034.14
  4. Step 4: Simplify right side
    81,465.75x = 5,139,271,970.98
  5. Step 5: Solve for x
    x = 5,139,271,970.98/81,465.75
  6. Step 6: Final answer
    x = 63,085.06

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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.