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Finding the Fourth Proportional to 78,549.59, 108,400.38 and 42,741.57

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Solution

The fourth proportional to 78,549.59, 108,400.38 and 42,741.57 is: 58,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,549.59 : 108,400.38 = 42,741.57 : x
  2. Step 2: Convert to fraction form
    78,549.59/108,400.38 = 42,741.57/x
  3. Step 3: Cross multiply
    78,549.59x = 108,400.38 × 42,741.57
  4. Step 4: Simplify right side
    78,549.59x = 4,633,201,674.09
  5. Step 5: Solve for x
    x = 4,633,201,674.09/78,549.59
  6. Step 6: Final answer
    x = 58,984.42

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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.