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Finding the Fourth Proportional to 99,802.73, 137,722.95 and 56,778.19

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Solution

The fourth proportional to 99,802.73, 137,722.95 and 56,778.19 is: 78,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802.73 : 137,722.95 = 56,778.19 : x
  2. Step 2: Convert to fraction form
    99,802.73/137,722.95 = 56,778.19/x
  3. Step 3: Cross multiply
    99,802.73x = 137,722.95 × 56,778.19
  4. Step 4: Simplify right side
    99,802.73x = 7,819,659,478.15
  5. Step 5: Solve for x
    x = 7,819,659,478.15/99,802.73
  6. Step 6: Final answer
    x = 78,351.16

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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.