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Finding the Fourth Proportional to 76,202.84, 105,157.54 and 42,209.96

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Solution

The fourth proportional to 76,202.84, 105,157.54 and 42,209.96 is: 58,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.84 : 105,157.54 = 42,209.96 : x
  2. Step 2: Convert to fraction form
    76,202.84/105,157.54 = 42,209.96/x
  3. Step 3: Cross multiply
    76,202.84x = 105,157.54 × 42,209.96
  4. Step 4: Simplify right side
    76,202.84x = 4,438,695,557.10
  5. Step 5: Solve for x
    x = 4,438,695,557.10/76,202.84
  6. Step 6: Final answer
    x = 58,248.43

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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.