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Finding the Fourth Proportional to 159,000.18, 219,424.05 and 87,387

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Solution

The fourth proportional to 159,000.18, 219,424.05 and 87,387 is: 120,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,000.18 : 219,424.05 = 87,387 : x
  2. Step 2: Convert to fraction form
    159,000.18/219,424.05 = 87,387/x
  3. Step 3: Cross multiply
    159,000.18x = 219,424.05 × 87,387
  4. Step 4: Simplify right side
    159,000.18x = 19,174,809,457.35
  5. Step 5: Solve for x
    x = 19,174,809,457.35/159,000.18
  6. Step 6: Final answer
    x = 120,596.15

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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.