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Finding the Fourth Proportional to 115,300, 159,119.40 and 64,999.04

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Solution

The fourth proportional to 115,300, 159,119.40 and 64,999.04 is: 89,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,300 : 159,119.40 = 64,999.04 : x
  2. Step 2: Convert to fraction form
    115,300/159,119.40 = 64,999.04/x
  3. Step 3: Cross multiply
    115,300x = 159,119.40 × 64,999.04
  4. Step 4: Simplify right side
    115,300x = 10,342,608,245.38
  5. Step 5: Solve for x
    x = 10,342,608,245.38/115,300
  6. Step 6: Final answer
    x = 89,701.72

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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.