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Finding the Fourth Proportional to 130,874.76, 180,616.50 and 74,289.78

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Solution

The fourth proportional to 130,874.76, 180,616.50 and 74,289.78 is: 102,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,874.76 : 180,616.50 = 74,289.78 : x
  2. Step 2: Convert to fraction form
    130,874.76/180,616.50 = 74,289.78/x
  3. Step 3: Cross multiply
    130,874.76x = 180,616.50 × 74,289.78
  4. Step 4: Simplify right side
    130,874.76x = 13,417,960,049.37
  5. Step 5: Solve for x
    x = 13,417,960,049.37/130,874.76
  6. Step 6: Final answer
    x = 102,525.19

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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.