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Finding the Fourth Proportional to 87,564, 120,838.32 and 47,820

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Solution

The fourth proportional to 87,564, 120,838.32 and 47,820 is: 65,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,564 : 120,838.32 = 47,820 : x
  2. Step 2: Convert to fraction form
    87,564/120,838.32 = 47,820/x
  3. Step 3: Cross multiply
    87,564x = 120,838.32 × 47,820
  4. Step 4: Simplify right side
    87,564x = 5,778,488,462.40
  5. Step 5: Solve for x
    x = 5,778,488,462.40/87,564
  6. Step 6: Final answer
    x = 65,991.60

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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.