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Finding the Fourth Proportional to 115,886.98, 159,309.11 and 99,695.08

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Solution

The fourth proportional to 115,886.98, 159,309.11 and 99,695.08 is: 137,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,886.98 : 159,309.11 = 99,695.08 : x
  2. Step 2: Convert to fraction form
    115,886.98/159,309.11 = 99,695.08/x
  3. Step 3: Cross multiply
    115,886.98x = 159,309.11 × 99,695.08
  4. Step 4: Simplify right side
    115,886.98x = 15,882,334,466.18
  5. Step 5: Solve for x
    x = 15,882,334,466.18/115,886.98
  6. Step 6: Final answer
    x = 137,050.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.