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Finding the Fourth Proportional to 158,833.86, 219,193.29 and 87,220.50

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Solution

The fourth proportional to 158,833.86, 219,193.29 and 87,220.50 is: 120,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,833.86 : 219,193.29 = 87,220.50 : x
  2. Step 2: Convert to fraction form
    158,833.86/219,193.29 = 87,220.50/x
  3. Step 3: Cross multiply
    158,833.86x = 219,193.29 × 87,220.50
  4. Step 4: Simplify right side
    158,833.86x = 19,118,148,350.45
  5. Step 5: Solve for x
    x = 19,118,148,350.45/158,833.86
  6. Step 6: Final answer
    x = 120,365.70

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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.