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Finding the Fourth Proportional to 115,780.32, 159,806.88 and 65,508.48

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Solution

The fourth proportional to 115,780.32, 159,806.88 and 65,508.48 is: 90,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,780.32 : 159,806.88 = 65,508.48 : x
  2. Step 2: Convert to fraction form
    115,780.32/159,806.88 = 65,508.48/x
  3. Step 3: Cross multiply
    115,780.32x = 159,806.88 × 65,508.48
  4. Step 4: Simplify right side
    115,780.32x = 10,468,705,802.34
  5. Step 5: Solve for x
    x = 10,468,705,802.34/115,780.32
  6. Step 6: Final answer
    x = 90,418.70

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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.