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Finding the Fourth Proportional to 206,365, 284,783.70 and 121,534.24

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Solution

The fourth proportional to 206,365, 284,783.70 and 121,534.24 is: 167,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,365 : 284,783.70 = 121,534.24 : x
  2. Step 2: Convert to fraction form
    206,365/284,783.70 = 121,534.24/x
  3. Step 3: Cross multiply
    206,365x = 284,783.70 × 121,534.24
  4. Step 4: Simplify right side
    206,365x = 34,610,970,543.89
  5. Step 5: Solve for x
    x = 34,610,970,543.89/206,365
  6. Step 6: Final answer
    x = 167,717.25

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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.