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Finding the Fourth Proportional to 78,400.81, 108,193.21 and 42,590.81

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Solution

The fourth proportional to 78,400.81, 108,193.21 and 42,590.81 is: 58,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,400.81 : 108,193.21 = 42,590.81 : x
  2. Step 2: Convert to fraction form
    78,400.81/108,193.21 = 42,590.81/x
  3. Step 3: Cross multiply
    78,400.81x = 108,193.21 × 42,590.81
  4. Step 4: Simplify right side
    78,400.81x = 4,608,036,614.41
  5. Step 5: Solve for x
    x = 4,608,036,614.41/78,400.81
  6. Step 6: Final answer
    x = 58,775.37

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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.