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Finding the Fourth Proportional to 83,710, 125,583.51 and 27,567.40

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Solution

The fourth proportional to 83,710, 125,583.51 and 27,567.40 is: 41,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,710 : 125,583.51 = 27,567.40 : x
  2. Step 2: Convert to fraction form
    83,710/125,583.51 = 27,567.40/x
  3. Step 3: Cross multiply
    83,710x = 125,583.51 × 27,567.40
  4. Step 4: Simplify right side
    83,710x = 3,462,010,853.57
  5. Step 5: Solve for x
    x = 3,462,010,853.57/83,710
  6. Step 6: Final answer
    x = 41,357.20

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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.