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Finding the Fourth Proportional to 219,878.30, 329,831.12 and 79,638.14

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Solution

The fourth proportional to 219,878.30, 329,831.12 and 79,638.14 is: 119,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,878.30 : 329,831.12 = 79,638.14 : x
  2. Step 2: Convert to fraction form
    219,878.30/329,831.12 = 79,638.14/x
  3. Step 3: Cross multiply
    219,878.30x = 329,831.12 × 79,638.14
  4. Step 4: Simplify right side
    219,878.30x = 26,267,135,460.86
  5. Step 5: Solve for x
    x = 26,267,135,460.86/219,878.30
  6. Step 6: Final answer
    x = 119,462.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.