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Finding the Fourth Proportional to 102,718.82, 153,815.18 and 71,085.08

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Solution

The fourth proportional to 102,718.82, 153,815.18 and 71,085.08 is: 106,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,718.82 : 153,815.18 = 71,085.08 : x
  2. Step 2: Convert to fraction form
    102,718.82/153,815.18 = 71,085.08/x
  3. Step 3: Cross multiply
    102,718.82x = 153,815.18 × 71,085.08
  4. Step 4: Simplify right side
    102,718.82x = 10,933,963,251.01
  5. Step 5: Solve for x
    x = 10,933,963,251.01/102,718.82
  6. Step 6: Final answer
    x = 106,445.57

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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.