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Finding the Fourth Proportional to 206,518.88, 284,978.58 and 115,862.60

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Solution

The fourth proportional to 206,518.88, 284,978.58 and 115,862.60 is: 159,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,518.88 : 284,978.58 = 115,862.60 : x
  2. Step 2: Convert to fraction form
    206,518.88/284,978.58 = 115,862.60/x
  3. Step 3: Cross multiply
    206,518.88x = 284,978.58 × 115,862.60
  4. Step 4: Simplify right side
    206,518.88x = 33,018,359,223.11
  5. Step 5: Solve for x
    x = 33,018,359,223.11/206,518.88
  6. Step 6: Final answer
    x = 159,880.58

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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.