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Finding the Fourth Proportional to 281,127, 421,734.33 and 91,542.60

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Solution

The fourth proportional to 281,127, 421,734.33 and 91,542.60 is: 137,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,127 : 421,734.33 = 91,542.60 : x
  2. Step 2: Convert to fraction form
    281,127/421,734.33 = 91,542.60/x
  3. Step 3: Cross multiply
    281,127x = 421,734.33 × 91,542.60
  4. Step 4: Simplify right side
    281,127x = 38,606,657,077.46
  5. Step 5: Solve for x
    x = 38,606,657,077.46/281,127
  6. Step 6: Final answer
    x = 137,328.17

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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.