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Finding the Fourth Proportional to 65,713, 98,569.50 and 18,959.08

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Solution

The fourth proportional to 65,713, 98,569.50 and 18,959.08 is: 28,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713 : 98,569.50 = 18,959.08 : x
  2. Step 2: Convert to fraction form
    65,713/98,569.50 = 18,959.08/x
  3. Step 3: Cross multiply
    65,713x = 98,569.50 × 18,959.08
  4. Step 4: Simplify right side
    65,713x = 1,868,787,036.06
  5. Step 5: Solve for x
    x = 1,868,787,036.06/65,713
  6. Step 6: Final answer
    x = 28,438.62

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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.