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Finding the Fourth Proportional to 83,089.88, 114,666 and 45,364.40

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Solution

The fourth proportional to 83,089.88, 114,666 and 45,364.40 is: 62,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.88 : 114,666 = 45,364.40 : x
  2. Step 2: Convert to fraction form
    83,089.88/114,666 = 45,364.40/x
  3. Step 3: Cross multiply
    83,089.88x = 114,666 × 45,364.40
  4. Step 4: Simplify right side
    83,089.88x = 5,201,754,290.40
  5. Step 5: Solve for x
    x = 5,201,754,290.40/83,089.88
  6. Step 6: Final answer
    x = 62,603.95

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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.