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Finding the Fourth Proportional to 103,618.92, 142,949.16 and 65,348.28

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Solution

The fourth proportional to 103,618.92, 142,949.16 and 65,348.28 is: 90,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618.92 : 142,949.16 = 65,348.28 : x
  2. Step 2: Convert to fraction form
    103,618.92/142,949.16 = 65,348.28/x
  3. Step 3: Cross multiply
    103,618.92x = 142,949.16 × 65,348.28
  4. Step 4: Simplify right side
    103,618.92x = 9,341,481,733.44
  5. Step 5: Solve for x
    x = 9,341,481,733.44/103,618.92
  6. Step 6: Final answer
    x = 90,152.28

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1.5x scale

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.