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Finding the Fourth Proportional to 159,186.64, 219,678.08 and 87,572.11

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Solution

The fourth proportional to 159,186.64, 219,678.08 and 87,572.11 is: 120,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,186.64 : 219,678.08 = 87,572.11 : x
  2. Step 2: Convert to fraction form
    159,186.64/219,678.08 = 87,572.11/x
  3. Step 3: Cross multiply
    159,186.64x = 219,678.08 × 87,572.11
  4. Step 4: Simplify right side
    159,186.64x = 19,237,671,450.10
  5. Step 5: Solve for x
    x = 19,237,671,450.10/159,186.64
  6. Step 6: Final answer
    x = 120,849.79

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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.