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Finding the Fourth Proportional to 146,516.80, 219,848.10 and 83,385.40

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Solution

The fourth proportional to 146,516.80, 219,848.10 and 83,385.40 is: 125,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,516.80 : 219,848.10 = 83,385.40 : x
  2. Step 2: Convert to fraction form
    146,516.80/219,848.10 = 83,385.40/x
  3. Step 3: Cross multiply
    146,516.80x = 219,848.10 × 83,385.40
  4. Step 4: Simplify right side
    146,516.80x = 18,332,121,757.74
  5. Step 5: Solve for x
    x = 18,332,121,757.74/146,516.80
  6. Step 6: Final answer
    x = 125,119.59

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1.5x scale

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.