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Finding the Fourth Proportional to 75,712.72, 104,482.20 and 42,178

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Solution

The fourth proportional to 75,712.72, 104,482.20 and 42,178 is: 58,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.72 : 104,482.20 = 42,178 : x
  2. Step 2: Convert to fraction form
    75,712.72/104,482.20 = 42,178/x
  3. Step 3: Cross multiply
    75,712.72x = 104,482.20 × 42,178
  4. Step 4: Simplify right side
    75,712.72x = 4,406,850,231.60
  5. Step 5: Solve for x
    x = 4,406,850,231.60/75,712.72
  6. Step 6: Final answer
    x = 58,204.89

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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.