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Finding the Fourth Proportional to 219,317.86, 328,979.22 and 77,167.18

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Solution

The fourth proportional to 219,317.86, 328,979.22 and 77,167.18 is: 115,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,317.86 : 328,979.22 = 77,167.18 : x
  2. Step 2: Convert to fraction form
    219,317.86/328,979.22 = 77,167.18/x
  3. Step 3: Cross multiply
    219,317.86x = 328,979.22 × 77,167.18
  4. Step 4: Simplify right side
    219,317.86x = 25,386,398,686.00
  5. Step 5: Solve for x
    x = 25,386,398,686.00/219,317.86
  6. Step 6: Final answer
    x = 115,751.62

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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.