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Finding the Fourth Proportional to 117,143.20, 175,714.80 and 86,039.20

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Solution

The fourth proportional to 117,143.20, 175,714.80 and 86,039.20 is: 129,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,143.20 : 175,714.80 = 86,039.20 : x
  2. Step 2: Convert to fraction form
    117,143.20/175,714.80 = 86,039.20/x
  3. Step 3: Cross multiply
    117,143.20x = 175,714.80 × 86,039.20
  4. Step 4: Simplify right side
    117,143.20x = 15,118,360,820.16
  5. Step 5: Solve for x
    x = 15,118,360,820.16/117,143.20
  6. Step 6: Final answer
    x = 129,058.80

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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.