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Finding the Fourth Proportional to 70,113.74, 105,108.05 and 25,730.19

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Solution

The fourth proportional to 70,113.74, 105,108.05 and 25,730.19 is: 38,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,113.74 : 105,108.05 = 25,730.19 : x
  2. Step 2: Convert to fraction form
    70,113.74/105,108.05 = 25,730.19/x
  3. Step 3: Cross multiply
    70,113.74x = 105,108.05 × 25,730.19
  4. Step 4: Simplify right side
    70,113.74x = 2,704,450,161.35
  5. Step 5: Solve for x
    x = 2,704,450,161.35/70,113.74
  6. Step 6: Final answer
    x = 38,572.33

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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.