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Finding the Fourth Proportional to 70,640.40, 105,874.20 and 31,155.60

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Solution

The fourth proportional to 70,640.40, 105,874.20 and 31,155.60 is: 46,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,640.40 : 105,874.20 = 31,155.60 : x
  2. Step 2: Convert to fraction form
    70,640.40/105,874.20 = 31,155.60/x
  3. Step 3: Cross multiply
    70,640.40x = 105,874.20 × 31,155.60
  4. Step 4: Simplify right side
    70,640.40x = 3,298,574,225.52
  5. Step 5: Solve for x
    x = 3,298,574,225.52/70,640.40
  6. Step 6: Final answer
    x = 46,695.29

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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.