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Finding the Fourth Proportional to 210,133.78, 289,983.24 and 119,489.74

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Solution

The fourth proportional to 210,133.78, 289,983.24 and 119,489.74 is: 164,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,133.78 : 289,983.24 = 119,489.74 : x
  2. Step 2: Convert to fraction form
    210,133.78/289,983.24 = 119,489.74/x
  3. Step 3: Cross multiply
    210,133.78x = 289,983.24 × 119,489.74
  4. Step 4: Simplify right side
    210,133.78x = 34,650,021,951.96
  5. Step 5: Solve for x
    x = 34,650,021,951.96/210,133.78
  6. Step 6: Final answer
    x = 164,895.06

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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.