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Finding the Fourth Proportional to 115,020.42, 158,724.29 and 64,709.70

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Solution

The fourth proportional to 115,020.42, 158,724.29 and 64,709.70 is: 89,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,020.42 : 158,724.29 = 64,709.70 : x
  2. Step 2: Convert to fraction form
    115,020.42/158,724.29 = 64,709.70/x
  3. Step 3: Cross multiply
    115,020.42x = 158,724.29 × 64,709.70
  4. Step 4: Simplify right side
    115,020.42x = 10,271,000,865.06
  5. Step 5: Solve for x
    x = 10,271,000,865.06/115,020.42
  6. Step 6: Final answer
    x = 89,297.19

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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.