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Finding the Fourth Proportional to 221,985.16, 306,396.48 and 137,053.48

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Solution

The fourth proportional to 221,985.16, 306,396.48 and 137,053.48 is: 189,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,985.16 : 306,396.48 = 137,053.48 : x
  2. Step 2: Convert to fraction form
    221,985.16/306,396.48 = 137,053.48/x
  3. Step 3: Cross multiply
    221,985.16x = 306,396.48 × 137,053.48
  4. Step 4: Simplify right side
    221,985.16x = 41,992,703,843.75
  5. Step 5: Solve for x
    x = 41,992,703,843.75/221,985.16
  6. Step 6: Final answer
    x = 189,168.97

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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.