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Finding the Fourth Proportional to 78,203.70, 107,921.25 and 42,393.60

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Solution

The fourth proportional to 78,203.70, 107,921.25 and 42,393.60 is: 58,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203.70 : 107,921.25 = 42,393.60 : x
  2. Step 2: Convert to fraction form
    78,203.70/107,921.25 = 42,393.60/x
  3. Step 3: Cross multiply
    78,203.70x = 107,921.25 × 42,393.60
  4. Step 4: Simplify right side
    78,203.70x = 4,575,170,304
  5. Step 5: Solve for x
    x = 4,575,170,304/78,203.70
  6. Step 6: Final answer
    x = 58,503.25

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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.