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Finding the Fourth Proportional to 158,971.61, 219,380.76 and 87,356.25

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Solution

The fourth proportional to 158,971.61, 219,380.76 and 87,356.25 is: 120,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,971.61 : 219,380.76 = 87,356.25 : x
  2. Step 2: Convert to fraction form
    158,971.61/219,380.76 = 87,356.25/x
  3. Step 3: Cross multiply
    158,971.61x = 219,380.76 × 87,356.25
  4. Step 4: Simplify right side
    158,971.61x = 19,164,280,515.75
  5. Step 5: Solve for x
    x = 19,164,280,515.75/158,971.61
  6. Step 6: Final answer
    x = 120,551.59

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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.