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Finding the Fourth Proportional to 76,348.50, 105,370.65 and 42,814.50

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Solution

The fourth proportional to 76,348.50, 105,370.65 and 42,814.50 is: 59,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,348.50 : 105,370.65 = 42,814.50 : x
  2. Step 2: Convert to fraction form
    76,348.50/105,370.65 = 42,814.50/x
  3. Step 3: Cross multiply
    76,348.50x = 105,370.65 × 42,814.50
  4. Step 4: Simplify right side
    76,348.50x = 4,511,391,694.43
  5. Step 5: Solve for x
    x = 4,511,391,694.43/76,348.50
  6. Step 6: Final answer
    x = 59,089.46

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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.