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Finding the Fourth Proportional to 243,993.16, 366,043.74 and 77,781.16

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Solution

The fourth proportional to 243,993.16, 366,043.74 and 77,781.16 is: 116,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,993.16 : 366,043.74 = 77,781.16 : x
  2. Step 2: Convert to fraction form
    243,993.16/366,043.74 = 77,781.16/x
  3. Step 3: Cross multiply
    243,993.16x = 366,043.74 × 77,781.16
  4. Step 4: Simplify right side
    243,993.16x = 28,471,306,707.94
  5. Step 5: Solve for x
    x = 28,471,306,707.94/243,993.16
  6. Step 6: Final answer
    x = 116,688.95

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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.