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Finding the Fourth Proportional to 210,511.16, 290,502.01 and 115,015.80

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Solution

The fourth proportional to 210,511.16, 290,502.01 and 115,015.80 is: 158,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,511.16 : 290,502.01 = 115,015.80 : x
  2. Step 2: Convert to fraction form
    210,511.16/290,502.01 = 115,015.80/x
  3. Step 3: Cross multiply
    210,511.16x = 290,502.01 × 115,015.80
  4. Step 4: Simplify right side
    210,511.16x = 33,412,321,081.76
  5. Step 5: Solve for x
    x = 33,412,321,081.76/210,511.16
  6. Step 6: Final answer
    x = 158,719.95

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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.