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Finding the Fourth Proportional to 70,348.95, 105,528.92 and 20,429.87

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Solution

The fourth proportional to 70,348.95, 105,528.92 and 20,429.87 is: 30,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,348.95 : 105,528.92 = 20,429.87 : x
  2. Step 2: Convert to fraction form
    70,348.95/105,528.92 = 20,429.87/x
  3. Step 3: Cross multiply
    70,348.95x = 105,528.92 × 20,429.87
  4. Step 4: Simplify right side
    70,348.95x = 2,155,941,487.05
  5. Step 5: Solve for x
    x = 2,155,941,487.05/70,348.95
  6. Step 6: Final answer
    x = 30,646.39

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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.