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Finding the Fourth Proportional to 144,978.50, 200,070.70 and 84,590.66

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Solution

The fourth proportional to 144,978.50, 200,070.70 and 84,590.66 is: 116,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,978.50 : 200,070.70 = 84,590.66 : x
  2. Step 2: Convert to fraction form
    144,978.50/200,070.70 = 84,590.66/x
  3. Step 3: Cross multiply
    144,978.50x = 200,070.70 × 84,590.66
  4. Step 4: Simplify right side
    144,978.50x = 16,924,112,559.66
  5. Step 5: Solve for x
    x = 16,924,112,559.66/144,978.50
  6. Step 6: Final answer
    x = 116,735.33

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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.