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Finding the Fourth Proportional to 113,225.80, 169,838.70 and 100,978.60

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Solution

The fourth proportional to 113,225.80, 169,838.70 and 100,978.60 is: 151,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,225.80 : 169,838.70 = 100,978.60 : x
  2. Step 2: Convert to fraction form
    113,225.80/169,838.70 = 100,978.60/x
  3. Step 3: Cross multiply
    113,225.80x = 169,838.70 × 100,978.60
  4. Step 4: Simplify right side
    113,225.80x = 17,150,074,151.82
  5. Step 5: Solve for x
    x = 17,150,074,151.82/113,225.80
  6. Step 6: Final answer
    x = 151,467.90

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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.