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Finding the Fourth Proportional to 70,876.56, 106,280.16 and 30,929.32

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Solution

The fourth proportional to 70,876.56, 106,280.16 and 30,929.32 is: 46,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.56 : 106,280.16 = 30,929.32 : x
  2. Step 2: Convert to fraction form
    70,876.56/106,280.16 = 30,929.32/x
  3. Step 3: Cross multiply
    70,876.56x = 106,280.16 × 30,929.32
  4. Step 4: Simplify right side
    70,876.56x = 3,287,173,078.29
  5. Step 5: Solve for x
    x = 3,287,173,078.29/70,876.56
  6. Step 6: Final answer
    x = 46,378.85

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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.