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Finding the Fourth Proportional to 153,471.38, 211,825.06 and 99,816.98

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Solution

The fourth proportional to 153,471.38, 211,825.06 and 99,816.98 is: 137,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,471.38 : 211,825.06 = 99,816.98 : x
  2. Step 2: Convert to fraction form
    153,471.38/211,825.06 = 99,816.98/x
  3. Step 3: Cross multiply
    153,471.38x = 211,825.06 × 99,816.98
  4. Step 4: Simplify right side
    153,471.38x = 21,143,736,468.85
  5. Step 5: Solve for x
    x = 21,143,736,468.85/153,471.38
  6. Step 6: Final answer
    x = 137,769.90

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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.