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Finding the Fourth Proportional to 159,140, 219,613.44 and 92,076.32

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Solution

The fourth proportional to 159,140, 219,613.44 and 92,076.32 is: 127,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,140 : 219,613.44 = 92,076.32 : x
  2. Step 2: Convert to fraction form
    159,140/219,613.44 = 92,076.32/x
  3. Step 3: Cross multiply
    159,140x = 219,613.44 × 92,076.32
  4. Step 4: Simplify right side
    159,140x = 20,221,197,377.74
  5. Step 5: Solve for x
    x = 20,221,197,377.74/159,140
  6. Step 6: Final answer
    x = 127,065.46

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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.