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Finding the Fourth Proportional to 87,009.50, 130,514.26 and 21,345.50

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Solution

The fourth proportional to 87,009.50, 130,514.26 and 21,345.50 is: 32,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,009.50 : 130,514.26 = 21,345.50 : x
  2. Step 2: Convert to fraction form
    87,009.50/130,514.26 = 21,345.50/x
  3. Step 3: Cross multiply
    87,009.50x = 130,514.26 × 21,345.50
  4. Step 4: Simplify right side
    87,009.50x = 2,785,892,136.83
  5. Step 5: Solve for x
    x = 2,785,892,136.83/87,009.50
  6. Step 6: Final answer
    x = 32,018.25

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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.