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Finding the Fourth Proportional to 87,054, 130,590.60 and 27,875.76

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Solution

The fourth proportional to 87,054, 130,590.60 and 27,875.76 is: 41,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,054 : 130,590.60 = 27,875.76 : x
  2. Step 2: Convert to fraction form
    87,054/130,590.60 = 27,875.76/x
  3. Step 3: Cross multiply
    87,054x = 130,590.60 × 27,875.76
  4. Step 4: Simplify right side
    87,054x = 3,640,312,223.86
  5. Step 5: Solve for x
    x = 3,640,312,223.86/87,054
  6. Step 6: Final answer
    x = 41,816.71

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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.