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Finding the Fourth Proportional to 223,098.75, 307,762.14 and 142,441.47

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Solution

The fourth proportional to 223,098.75, 307,762.14 and 142,441.47 is: 196,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,098.75 : 307,762.14 = 142,441.47 : x
  2. Step 2: Convert to fraction form
    223,098.75/307,762.14 = 142,441.47/x
  3. Step 3: Cross multiply
    223,098.75x = 307,762.14 × 142,441.47
  4. Step 4: Simplify right side
    223,098.75x = 43,838,091,631.95
  5. Step 5: Solve for x
    x = 43,838,091,631.95/223,098.75
  6. Step 6: Final answer
    x = 196,496.36

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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.