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Finding the Fourth Proportional to 87,216, 130,817.28 and 49,658.16

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Solution

The fourth proportional to 87,216, 130,817.28 and 49,658.16 is: 74,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,216 : 130,817.28 = 49,658.16 : x
  2. Step 2: Convert to fraction form
    87,216/130,817.28 = 49,658.16/x
  3. Step 3: Cross multiply
    87,216x = 130,817.28 × 49,658.16
  4. Step 4: Simplify right side
    87,216x = 6,496,145,421.00
  5. Step 5: Solve for x
    x = 6,496,145,421.00/87,216
  6. Step 6: Final answer
    x = 74,483.41

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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.