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Finding the Fourth Proportional to 206,640.50, 285,130.04 and 121,746.02

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Solution

The fourth proportional to 206,640.50, 285,130.04 and 121,746.02 is: 167,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,640.50 : 285,130.04 = 121,746.02 : x
  2. Step 2: Convert to fraction form
    206,640.50/285,130.04 = 121,746.02/x
  3. Step 3: Cross multiply
    206,640.50x = 285,130.04 × 121,746.02
  4. Step 4: Simplify right side
    206,640.50x = 34,713,445,518.06
  5. Step 5: Solve for x
    x = 34,713,445,518.06/206,640.50
  6. Step 6: Final answer
    x = 167,989.56

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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.