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Finding the Fourth Proportional to 78,453.62, 108,266.20 and 42,643.56

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Solution

The fourth proportional to 78,453.62, 108,266.20 and 42,643.56 is: 58,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,453.62 : 108,266.20 = 42,643.56 : x
  2. Step 2: Convert to fraction form
    78,453.62/108,266.20 = 42,643.56/x
  3. Step 3: Cross multiply
    78,453.62x = 108,266.20 × 42,643.56
  4. Step 4: Simplify right side
    78,453.62x = 4,616,856,195.67
  5. Step 5: Solve for x
    x = 4,616,856,195.67/78,453.62
  6. Step 6: Final answer
    x = 58,848.22

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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.