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Finding the Fourth Proportional to 158,833.56, 219,192.80 and 87,220

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Solution

The fourth proportional to 158,833.56, 219,192.80 and 87,220 is: 120,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,833.56 : 219,192.80 = 87,220 : x
  2. Step 2: Convert to fraction form
    158,833.56/219,192.80 = 87,220/x
  3. Step 3: Cross multiply
    158,833.56x = 219,192.80 × 87,220
  4. Step 4: Simplify right side
    158,833.56x = 19,117,996,016
  5. Step 5: Solve for x
    x = 19,117,996,016/158,833.56
  6. Step 6: Final answer
    x = 120,364.97

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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.