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Finding the Fourth Proportional to 87,006, 130,509 and 37,758

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Solution

The fourth proportional to 87,006, 130,509 and 37,758 is: 56,637

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,006 : 130,509 = 37,758 : x
  2. Step 2: Convert to fraction form
    87,006/130,509 = 37,758/x
  3. Step 3: Cross multiply
    87,006x = 130,509 × 37,758
  4. Step 4: Simplify right side
    87,006x = 4,927,758,822
  5. Step 5: Solve for x
    x = 4,927,758,822/87,006
  6. Step 6: Final answer
    x = 56,637

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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.