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Finding the Fourth Proportional to 77,988, 107,585.34 and 51,118.68

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Solution

The fourth proportional to 77,988, 107,585.34 and 51,118.68 is: 70,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,988 : 107,585.34 = 51,118.68 : x
  2. Step 2: Convert to fraction form
    77,988/107,585.34 = 51,118.68/x
  3. Step 3: Cross multiply
    77,988x = 107,585.34 × 51,118.68
  4. Step 4: Simplify right side
    77,988x = 5,499,620,568.15
  5. Step 5: Solve for x
    x = 5,499,620,568.15/77,988
  6. Step 6: Final answer
    x = 70,518.81

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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.