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Finding the Fourth Proportional to 216,902.50, 299,282.90 and 136,283.32

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Solution

The fourth proportional to 216,902.50, 299,282.90 and 136,283.32 is: 188,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,902.50 : 299,282.90 = 136,283.32 : x
  2. Step 2: Convert to fraction form
    216,902.50/299,282.90 = 136,283.32/x
  3. Step 3: Cross multiply
    216,902.50x = 299,282.90 × 136,283.32
  4. Step 4: Simplify right side
    216,902.50x = 40,787,267,231.23
  5. Step 5: Solve for x
    x = 40,787,267,231.23/216,902.50
  6. Step 6: Final answer
    x = 188,044.25

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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.