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Finding the Fourth Proportional to 87,582, 120,866.04 and 47,838

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Solution

The fourth proportional to 87,582, 120,866.04 and 47,838 is: 66,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,582 : 120,866.04 = 47,838 : x
  2. Step 2: Convert to fraction form
    87,582/120,866.04 = 47,838/x
  3. Step 3: Cross multiply
    87,582x = 120,866.04 × 47,838
  4. Step 4: Simplify right side
    87,582x = 5,781,989,621.52
  5. Step 5: Solve for x
    x = 5,781,989,621.52/87,582
  6. Step 6: Final answer
    x = 66,018.01

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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.