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Finding the Fourth Proportional to 115,275.75, 159,211.76 and 77,484.39

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Solution

The fourth proportional to 115,275.75, 159,211.76 and 77,484.39 is: 107,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,275.75 : 159,211.76 = 77,484.39 : x
  2. Step 2: Convert to fraction form
    115,275.75/159,211.76 = 77,484.39/x
  3. Step 3: Cross multiply
    115,275.75x = 159,211.76 × 77,484.39
  4. Step 4: Simplify right side
    115,275.75x = 12,336,425,717.00
  5. Step 5: Solve for x
    x = 12,336,425,717.00/115,275.75
  6. Step 6: Final answer
    x = 107,016.66

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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.