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Finding the Fourth Proportional to 159,156, 219,637.12 and 87,537.20

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Solution

The fourth proportional to 159,156, 219,637.12 and 87,537.20 is: 120,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,156 : 219,637.12 = 87,537.20 : x
  2. Step 2: Convert to fraction form
    159,156/219,637.12 = 87,537.20/x
  3. Step 3: Cross multiply
    159,156x = 219,637.12 × 87,537.20
  4. Step 4: Simplify right side
    159,156x = 19,226,418,500.86
  5. Step 5: Solve for x
    x = 19,226,418,500.86/159,156
  6. Step 6: Final answer
    x = 120,802.35

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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.