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Finding the Fourth Proportional to 153,988.56, 230,989.32 and 52,856.28

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Solution

The fourth proportional to 153,988.56, 230,989.32 and 52,856.28 is: 79,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,988.56 : 230,989.32 = 52,856.28 : x
  2. Step 2: Convert to fraction form
    153,988.56/230,989.32 = 52,856.28/x
  3. Step 3: Cross multiply
    153,988.56x = 230,989.32 × 52,856.28
  4. Step 4: Simplify right side
    153,988.56x = 12,209,236,174.93
  5. Step 5: Solve for x
    x = 12,209,236,174.93/153,988.56
  6. Step 6: Final answer
    x = 79,286.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.