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Finding the Fourth Proportional to 131,055.48, 180,856.14 and 71,439.48

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Solution

The fourth proportional to 131,055.48, 180,856.14 and 71,439.48 is: 98,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,055.48 : 180,856.14 = 71,439.48 : x
  2. Step 2: Convert to fraction form
    131,055.48/180,856.14 = 71,439.48/x
  3. Step 3: Cross multiply
    131,055.48x = 180,856.14 × 71,439.48
  4. Step 4: Simplify right side
    131,055.48x = 12,920,268,596.41
  5. Step 5: Solve for x
    x = 12,920,268,596.41/131,055.48
  6. Step 6: Final answer
    x = 98,586.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.