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Finding the Fourth Proportional to 144,978.26, 200,070.36 and 84,590.42

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Solution

The fourth proportional to 144,978.26, 200,070.36 and 84,590.42 is: 116,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,978.26 : 200,070.36 = 84,590.42 : x
  2. Step 2: Convert to fraction form
    144,978.26/200,070.36 = 84,590.42/x
  3. Step 3: Cross multiply
    144,978.26x = 200,070.36 × 84,590.42
  4. Step 4: Simplify right side
    144,978.26x = 16,924,035,781.95
  5. Step 5: Solve for x
    x = 16,924,035,781.95/144,978.26
  6. Step 6: Final answer
    x = 116,734.99

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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.