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Finding the Fourth Proportional to 210,264.79, 290,122.10 and 120,823.51

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Solution

The fourth proportional to 210,264.79, 290,122.10 and 120,823.51 is: 166,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,264.79 : 290,122.10 = 120,823.51 : x
  2. Step 2: Convert to fraction form
    210,264.79/290,122.10 = 120,823.51/x
  3. Step 3: Cross multiply
    210,264.79x = 290,122.10 × 120,823.51
  4. Step 4: Simplify right side
    210,264.79x = 35,053,569,846.45
  5. Step 5: Solve for x
    x = 35,053,569,846.45/210,264.79
  6. Step 6: Final answer
    x = 166,711.55

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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.