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Finding the Fourth Proportional to 83,143.95, 114,737.91 and 45,417.39

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Solution

The fourth proportional to 83,143.95, 114,737.91 and 45,417.39 is: 62,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.95 : 114,737.91 = 45,417.39 : x
  2. Step 2: Convert to fraction form
    83,143.95/114,737.91 = 45,417.39/x
  3. Step 3: Cross multiply
    83,143.95x = 114,737.91 × 45,417.39
  4. Step 4: Simplify right side
    83,143.95x = 5,211,096,406.25
  5. Step 5: Solve for x
    x = 5,211,096,406.25/83,143.95
  6. Step 6: Final answer
    x = 62,675.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.