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Finding the Fourth Proportional to 223,119, 307,920.69 and 138,252.60

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Solution

The fourth proportional to 223,119, 307,920.69 and 138,252.60 is: 190,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,119 : 307,920.69 = 138,252.60 : x
  2. Step 2: Convert to fraction form
    223,119/307,920.69 = 138,252.60/x
  3. Step 3: Cross multiply
    223,119x = 307,920.69 × 138,252.60
  4. Step 4: Simplify right side
    223,119x = 42,570,835,986.29
  5. Step 5: Solve for x
    x = 42,570,835,986.29/223,119
  6. Step 6: Final answer
    x = 190,798.79

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1.5x scale

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.