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Finding the Fourth Proportional to 115,953.44, 173,988.52 and 86,430.56

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Solution

The fourth proportional to 115,953.44, 173,988.52 and 86,430.56 is: 129,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,953.44 : 173,988.52 = 86,430.56 : x
  2. Step 2: Convert to fraction form
    115,953.44/173,988.52 = 86,430.56/x
  3. Step 3: Cross multiply
    115,953.44x = 173,988.52 × 86,430.56
  4. Step 4: Simplify right side
    115,953.44x = 15,037,925,217.17
  5. Step 5: Solve for x
    x = 15,037,925,217.17/115,953.44
  6. Step 6: Final answer
    x = 129,689.34

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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.