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Finding the Fourth Proportional to 79,920.48, 119,802.72 and 51,823.20

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Solution

The fourth proportional to 79,920.48, 119,802.72 and 51,823.20 is: 77,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,920.48 : 119,802.72 = 51,823.20 : x
  2. Step 2: Convert to fraction form
    79,920.48/119,802.72 = 51,823.20/x
  3. Step 3: Cross multiply
    79,920.48x = 119,802.72 × 51,823.20
  4. Step 4: Simplify right side
    79,920.48x = 6,208,560,319.10
  5. Step 5: Solve for x
    x = 6,208,560,319.10/79,920.48
  6. Step 6: Final answer
    x = 77,684.22

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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.