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Finding the Fourth Proportional to 158,864.49, 219,234.51 and 87,246

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Solution

The fourth proportional to 158,864.49, 219,234.51 and 87,246 is: 120,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,864.49 : 219,234.51 = 87,246 : x
  2. Step 2: Convert to fraction form
    158,864.49/219,234.51 = 87,246/x
  3. Step 3: Cross multiply
    158,864.49x = 219,234.51 × 87,246
  4. Step 4: Simplify right side
    158,864.49x = 19,127,334,059.46
  5. Step 5: Solve for x
    x = 19,127,334,059.46/158,864.49
  6. Step 6: Final answer
    x = 120,400.31

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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.