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Finding the Fourth Proportional to 71,819, 99,116.78 and 42,011

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Solution

The fourth proportional to 71,819, 99,116.78 and 42,011 is: 57,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,819 : 99,116.78 = 42,011 : x
  2. Step 2: Convert to fraction form
    71,819/99,116.78 = 42,011/x
  3. Step 3: Cross multiply
    71,819x = 99,116.78 × 42,011
  4. Step 4: Simplify right side
    71,819x = 4,163,995,044.58
  5. Step 5: Solve for x
    x = 4,163,995,044.58/71,819
  6. Step 6: Final answer
    x = 57,979.02

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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.