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Finding the Fourth Proportional to 78,798.75, 108,744.21 and 42,992.16

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Solution

The fourth proportional to 78,798.75, 108,744.21 and 42,992.16 is: 59,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,798.75 : 108,744.21 = 42,992.16 : x
  2. Step 2: Convert to fraction form
    78,798.75/108,744.21 = 42,992.16/x
  3. Step 3: Cross multiply
    78,798.75x = 108,744.21 × 42,992.16
  4. Step 4: Simplify right side
    78,798.75x = 4,675,148,475.39
  5. Step 5: Solve for x
    x = 4,675,148,475.39/78,798.75
  6. Step 6: Final answer
    x = 59,330.24

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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.