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Finding the Fourth Proportional to 205,762.16, 284,112.88 and 157,939.76

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Solution

The fourth proportional to 205,762.16, 284,112.88 and 157,939.76 is: 218,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,762.16 : 284,112.88 = 157,939.76 : x
  2. Step 2: Convert to fraction form
    205,762.16/284,112.88 = 157,939.76/x
  3. Step 3: Cross multiply
    205,762.16x = 284,112.88 × 157,939.76
  4. Step 4: Simplify right side
    205,762.16x = 44,872,720,080.11
  5. Step 5: Solve for x
    x = 44,872,720,080.11/205,762.16
  6. Step 6: Final answer
    x = 218,080.53

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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.