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Finding the Fourth Proportional to 78,473.70, 108,293.49 and 42,663.48

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Solution

The fourth proportional to 78,473.70, 108,293.49 and 42,663.48 is: 58,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,473.70 : 108,293.49 = 42,663.48 : x
  2. Step 2: Convert to fraction form
    78,473.70/108,293.49 = 42,663.48/x
  3. Step 3: Cross multiply
    78,473.70x = 108,293.49 × 42,663.48
  4. Step 4: Simplify right side
    78,473.70x = 4,620,177,144.75
  5. Step 5: Solve for x
    x = 4,620,177,144.75/78,473.70
  6. Step 6: Final answer
    x = 58,875.48

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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.