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Finding the Fourth Proportional to 87,054, 130,617.95 and 47,564.98

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Solution

The fourth proportional to 87,054, 130,617.95 and 47,564.98 is: 71,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,054 : 130,617.95 = 47,564.98 : x
  2. Step 2: Convert to fraction form
    87,054/130,617.95 = 47,564.98/x
  3. Step 3: Cross multiply
    87,054x = 130,617.95 × 47,564.98
  4. Step 4: Simplify right side
    87,054x = 6,212,840,179.39
  5. Step 5: Solve for x
    x = 6,212,840,179.39/87,054
  6. Step 6: Final answer
    x = 71,367.66

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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.