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Finding the Fourth Proportional to 210,022.54, 289,831.17 and 114,526.78

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Solution

The fourth proportional to 210,022.54, 289,831.17 and 114,526.78 is: 158,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,022.54 : 289,831.17 = 114,526.78 : x
  2. Step 2: Convert to fraction form
    210,022.54/289,831.17 = 114,526.78/x
  3. Step 3: Cross multiply
    210,022.54x = 289,831.17 × 114,526.78
  4. Step 4: Simplify right side
    210,022.54x = 33,193,430,643.73
  5. Step 5: Solve for x
    x = 33,193,430,643.73/210,022.54
  6. Step 6: Final answer
    x = 158,046.99

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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.