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Finding the Fourth Proportional to 152,006.46, 209,760.72 and 84,019.38

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Solution

The fourth proportional to 152,006.46, 209,760.72 and 84,019.38 is: 115,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006.46 : 209,760.72 = 84,019.38 : x
  2. Step 2: Convert to fraction form
    152,006.46/209,760.72 = 84,019.38/x
  3. Step 3: Cross multiply
    152,006.46x = 209,760.72 × 84,019.38
  4. Step 4: Simplify right side
    152,006.46x = 17,623,965,642.75
  5. Step 5: Solve for x
    x = 17,623,965,642.75/152,006.46
  6. Step 6: Final answer
    x = 115,942.21

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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.