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Finding the Fourth Proportional to 219,169.22, 328,772.54 and 77,002.14

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Solution

The fourth proportional to 219,169.22, 328,772.54 and 77,002.14 is: 115,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,169.22 : 328,772.54 = 77,002.14 : x
  2. Step 2: Convert to fraction form
    219,169.22/328,772.54 = 77,002.14/x
  3. Step 3: Cross multiply
    219,169.22x = 328,772.54 × 77,002.14
  4. Step 4: Simplify right side
    219,169.22x = 25,316,189,345.74
  5. Step 5: Solve for x
    x = 25,316,189,345.74/219,169.22
  6. Step 6: Final answer
    x = 115,509.79

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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.