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Finding the Fourth Proportional to 209,393.88, 288,971.12 and 119,987.16

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Solution

The fourth proportional to 209,393.88, 288,971.12 and 119,987.16 is: 165,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,393.88 : 288,971.12 = 119,987.16 : x
  2. Step 2: Convert to fraction form
    209,393.88/288,971.12 = 119,987.16/x
  3. Step 3: Cross multiply
    209,393.88x = 288,971.12 × 119,987.16
  4. Step 4: Simplify right side
    209,393.88x = 34,672,824,010.82
  5. Step 5: Solve for x
    x = 34,672,824,010.82/209,393.88
  6. Step 6: Final answer
    x = 165,586.62

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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.