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Finding the Fourth Proportional to 104,742.32, 157,113.48 and 86,235.44

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Solution

The fourth proportional to 104,742.32, 157,113.48 and 86,235.44 is: 129,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,742.32 : 157,113.48 = 86,235.44 : x
  2. Step 2: Convert to fraction form
    104,742.32/157,113.48 = 86,235.44/x
  3. Step 3: Cross multiply
    104,742.32x = 157,113.48 × 86,235.44
  4. Step 4: Simplify right side
    104,742.32x = 13,548,750,077.73
  5. Step 5: Solve for x
    x = 13,548,750,077.73/104,742.32
  6. Step 6: Final answer
    x = 129,353.16

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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.