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Finding the Fourth Proportional to 70,423.18, 105,641.70 and 20,503.78

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Solution

The fourth proportional to 70,423.18, 105,641.70 and 20,503.78 is: 30,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,423.18 : 105,641.70 = 20,503.78 : x
  2. Step 2: Convert to fraction form
    70,423.18/105,641.70 = 20,503.78/x
  3. Step 3: Cross multiply
    70,423.18x = 105,641.70 × 20,503.78
  4. Step 4: Simplify right side
    70,423.18x = 2,166,054,175.63
  5. Step 5: Solve for x
    x = 2,166,054,175.63/70,423.18
  6. Step 6: Final answer
    x = 30,757.69

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1.5x scale

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.