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Finding the Fourth Proportional to 210,757.84, 290,853.39 and 120,127.48

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Solution

The fourth proportional to 210,757.84, 290,853.39 and 120,127.48 is: 165,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,757.84 : 290,853.39 = 120,127.48 : x
  2. Step 2: Convert to fraction form
    210,757.84/290,853.39 = 120,127.48/x
  3. Step 3: Cross multiply
    210,757.84x = 290,853.39 × 120,127.48
  4. Step 4: Simplify right side
    210,757.84x = 34,939,484,790.16
  5. Step 5: Solve for x
    x = 34,939,484,790.16/210,757.84
  6. Step 6: Final answer
    x = 165,780.24

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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.