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Finding the Fourth Proportional to 86,031.12, 128,987.68 and 43,829.52

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Solution

The fourth proportional to 86,031.12, 128,987.68 and 43,829.52 is: 65,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,031.12 : 128,987.68 = 43,829.52 : x
  2. Step 2: Convert to fraction form
    86,031.12/128,987.68 = 43,829.52/x
  3. Step 3: Cross multiply
    86,031.12x = 128,987.68 × 43,829.52
  4. Step 4: Simplify right side
    86,031.12x = 5,653,468,100.31
  5. Step 5: Solve for x
    x = 5,653,468,100.31/86,031.12
  6. Step 6: Final answer
    x = 65,714.22

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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.