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Finding the Fourth Proportional to 142,073.60, 213,225.60 and 137,465.60

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Solution

The fourth proportional to 142,073.60, 213,225.60 and 137,465.60 is: 206,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,073.60 : 213,225.60 = 137,465.60 : x
  2. Step 2: Convert to fraction form
    142,073.60/213,225.60 = 137,465.60/x
  3. Step 3: Cross multiply
    142,073.60x = 213,225.60 × 137,465.60
  4. Step 4: Simplify right side
    142,073.60x = 29,311,185,039.36
  5. Step 5: Solve for x
    x = 29,311,185,039.36/142,073.60
  6. Step 6: Final answer
    x = 206,309.86

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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.