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Finding the Fourth Proportional to 130,478.48, 180,148 and 81,494.74

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Solution

The fourth proportional to 130,478.48, 180,148 and 81,494.74 is: 112,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,478.48 : 180,148 = 81,494.74 : x
  2. Step 2: Convert to fraction form
    130,478.48/180,148 = 81,494.74/x
  3. Step 3: Cross multiply
    130,478.48x = 180,148 × 81,494.74
  4. Step 4: Simplify right side
    130,478.48x = 14,681,113,520.78
  5. Step 5: Solve for x
    x = 14,681,113,520.78/130,478.48
  6. Step 6: Final answer
    x = 112,517.51

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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.