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Finding the Fourth Proportional to 77,683.20, 107,212.80 and 52,531.20

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Solution

The fourth proportional to 77,683.20, 107,212.80 and 52,531.20 is: 72,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,683.20 : 107,212.80 = 52,531.20 : x
  2. Step 2: Convert to fraction form
    77,683.20/107,212.80 = 52,531.20/x
  3. Step 3: Cross multiply
    77,683.20x = 107,212.80 × 52,531.20
  4. Step 4: Simplify right side
    77,683.20x = 5,632,017,039.36
  5. Step 5: Solve for x
    x = 5,632,017,039.36/77,683.20
  6. Step 6: Final answer
    x = 72,499.81

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1.5x scale

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.