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Finding the Fourth Proportional to 83,141.40, 124,625.70 and 45,643.80

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Solution

The fourth proportional to 83,141.40, 124,625.70 and 45,643.80 is: 68,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,141.40 : 124,625.70 = 45,643.80 : x
  2. Step 2: Convert to fraction form
    83,141.40/124,625.70 = 45,643.80/x
  3. Step 3: Cross multiply
    83,141.40x = 124,625.70 × 45,643.80
  4. Step 4: Simplify right side
    83,141.40x = 5,688,390,525.66
  5. Step 5: Solve for x
    x = 5,688,390,525.66/83,141.40
  6. Step 6: Final answer
    x = 68,418.27

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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.