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Finding the Fourth Proportional to 87,214, 130,814.28 and 49,656.16

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Solution

The fourth proportional to 87,214, 130,814.28 and 49,656.16 is: 74,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,214 : 130,814.28 = 49,656.16 : x
  2. Step 2: Convert to fraction form
    87,214/130,814.28 = 49,656.16/x
  3. Step 3: Cross multiply
    87,214x = 130,814.28 × 49,656.16
  4. Step 4: Simplify right side
    87,214x = 6,495,734,817.96
  5. Step 5: Solve for x
    x = 6,495,734,817.96/87,214
  6. Step 6: Final answer
    x = 74,480.41

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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.