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Finding the Fourth Proportional to 201,963.90, 302,945.85 and 138,978.30

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Solution

The fourth proportional to 201,963.90, 302,945.85 and 138,978.30 is: 208,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,963.90 : 302,945.85 = 138,978.30 : x
  2. Step 2: Convert to fraction form
    201,963.90/302,945.85 = 138,978.30/x
  3. Step 3: Cross multiply
    201,963.90x = 302,945.85 × 138,978.30
  4. Step 4: Simplify right side
    201,963.90x = 42,102,899,225.06
  5. Step 5: Solve for x
    x = 42,102,899,225.06/201,963.90
  6. Step 6: Final answer
    x = 208,467.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.