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Finding the Fourth Proportional to 189,552.80, 284,636.40 and 137,328.80

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Solution

The fourth proportional to 189,552.80, 284,636.40 and 137,328.80 is: 206,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,552.80 : 284,636.40 = 137,328.80 : x
  2. Step 2: Convert to fraction form
    189,552.80/284,636.40 = 137,328.80/x
  3. Step 3: Cross multiply
    189,552.80x = 284,636.40 × 137,328.80
  4. Step 4: Simplify right side
    189,552.80x = 39,088,775,248.32
  5. Step 5: Solve for x
    x = 39,088,775,248.32/189,552.80
  6. Step 6: Final answer
    x = 206,215.76

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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.