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Finding the Fourth Proportional to 76,213, 105,174.48 and 42,679

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Solution

The fourth proportional to 76,213, 105,174.48 and 42,679 is: 58,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,213 : 105,174.48 = 42,679 : x
  2. Step 2: Convert to fraction form
    76,213/105,174.48 = 42,679/x
  3. Step 3: Cross multiply
    76,213x = 105,174.48 × 42,679
  4. Step 4: Simplify right side
    76,213x = 4,488,741,631.92
  5. Step 5: Solve for x
    x = 4,488,741,631.92/76,213
  6. Step 6: Final answer
    x = 58,897.32

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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.