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Finding the Fourth Proportional to 144,978.75, 200,071.04 and 84,590.91

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Solution

The fourth proportional to 144,978.75, 200,071.04 and 84,590.91 is: 116,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,978.75 : 200,071.04 = 84,590.91 : x
  2. Step 2: Convert to fraction form
    144,978.75/200,071.04 = 84,590.91/x
  3. Step 3: Cross multiply
    144,978.75x = 200,071.04 × 84,590.91
  4. Step 4: Simplify right side
    144,978.75x = 16,924,190,915.29
  5. Step 5: Solve for x
    x = 16,924,190,915.29/144,978.75
  6. Step 6: Final answer
    x = 116,735.67

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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.