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Finding the Fourth Proportional to 83,138.40, 114,702.54 and 47,319.48

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Solution

The fourth proportional to 83,138.40, 114,702.54 and 47,319.48 is: 65,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.40 : 114,702.54 = 47,319.48 : x
  2. Step 2: Convert to fraction form
    83,138.40/114,702.54 = 47,319.48/x
  3. Step 3: Cross multiply
    83,138.40x = 114,702.54 × 47,319.48
  4. Step 4: Simplify right side
    83,138.40x = 5,427,664,547.48
  5. Step 5: Solve for x
    x = 5,427,664,547.48/83,138.40
  6. Step 6: Final answer
    x = 65,284.69

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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.