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Finding the Fourth Proportional to 142,718.36, 214,025.90 and 47,920.21

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Solution

The fourth proportional to 142,718.36, 214,025.90 and 47,920.21 is: 71,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,718.36 : 214,025.90 = 47,920.21 : x
  2. Step 2: Convert to fraction form
    142,718.36/214,025.90 = 47,920.21/x
  3. Step 3: Cross multiply
    142,718.36x = 214,025.90 × 47,920.21
  4. Step 4: Simplify right side
    142,718.36x = 10,256,165,298.77
  5. Step 5: Solve for x
    x = 10,256,165,298.77/142,718.36
  6. Step 6: Final answer
    x = 71,862.97

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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.