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Finding the Fourth Proportional to 210,476.74, 290,236.88 and 138,765

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Solution

The fourth proportional to 210,476.74, 290,236.88 and 138,765 is: 191,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,476.74 : 290,236.88 = 138,765 : x
  2. Step 2: Convert to fraction form
    210,476.74/290,236.88 = 138,765/x
  3. Step 3: Cross multiply
    210,476.74x = 290,236.88 × 138,765
  4. Step 4: Simplify right side
    210,476.74x = 40,274,720,653.20
  5. Step 5: Solve for x
    x = 40,274,720,653.20/210,476.74
  6. Step 6: Final answer
    x = 191,349.98

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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.