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Finding the Fourth Proportional to 78,073.32, 107,741.14 and 42,263.62

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Solution

The fourth proportional to 78,073.32, 107,741.14 and 42,263.62 is: 58,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073.32 : 107,741.14 = 42,263.62 : x
  2. Step 2: Convert to fraction form
    78,073.32/107,741.14 = 42,263.62/x
  3. Step 3: Cross multiply
    78,073.32x = 107,741.14 × 42,263.62
  4. Step 4: Simplify right side
    78,073.32x = 4,553,530,599.33
  5. Step 5: Solve for x
    x = 4,553,530,599.33/78,073.32
  6. Step 6: Final answer
    x = 58,323.77

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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.