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Finding the Fourth Proportional to 70,411.48, 105,630.54 and 28,294.84

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Solution

The fourth proportional to 70,411.48, 105,630.54 and 28,294.84 is: 42,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,411.48 : 105,630.54 = 28,294.84 : x
  2. Step 2: Convert to fraction form
    70,411.48/105,630.54 = 28,294.84/x
  3. Step 3: Cross multiply
    70,411.48x = 105,630.54 × 28,294.84
  4. Step 4: Simplify right side
    70,411.48x = 2,988,799,228.41
  5. Step 5: Solve for x
    x = 2,988,799,228.41/70,411.48
  6. Step 6: Final answer
    x = 42,447.61

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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.