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Finding the Fourth Proportional to 70,506.40, 105,689.52 and 35,338.72

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Solution

The fourth proportional to 70,506.40, 105,689.52 and 35,338.72 is: 52,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506.40 : 105,689.52 = 35,338.72 : x
  2. Step 2: Convert to fraction form
    70,506.40/105,689.52 = 35,338.72/x
  3. Step 3: Cross multiply
    70,506.40x = 105,689.52 × 35,338.72
  4. Step 4: Simplify right side
    70,506.40x = 3,734,932,354.21
  5. Step 5: Solve for x
    x = 3,734,932,354.21/70,506.40
  6. Step 6: Final answer
    x = 52,972.95

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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.