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Finding the Fourth Proportional to 206,343.45, 284,813.01 and 121,509.72

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Solution

The fourth proportional to 206,343.45, 284,813.01 and 121,509.72 is: 167,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,343.45 : 284,813.01 = 121,509.72 : x
  2. Step 2: Convert to fraction form
    206,343.45/284,813.01 = 121,509.72/x
  3. Step 3: Cross multiply
    206,343.45x = 284,813.01 × 121,509.72
  4. Step 4: Simplify right side
    206,343.45x = 34,607,549,097.46
  5. Step 5: Solve for x
    x = 34,607,549,097.46/206,343.45
  6. Step 6: Final answer
    x = 167,718.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.