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Finding the Fourth Proportional to 70,033.12, 105,089.68 and 25,654

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Solution

The fourth proportional to 70,033.12, 105,089.68 and 25,654 is: 38,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,033.12 : 105,089.68 = 25,654 : x
  2. Step 2: Convert to fraction form
    70,033.12/105,089.68 = 25,654/x
  3. Step 3: Cross multiply
    70,033.12x = 105,089.68 × 25,654
  4. Step 4: Simplify right side
    70,033.12x = 2,695,970,650.72
  5. Step 5: Solve for x
    x = 2,695,970,650.72/70,033.12
  6. Step 6: Final answer
    x = 38,495.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.