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Finding the Fourth Proportional to 210,502.95, 290,480.13 and 119,868.18

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Solution

The fourth proportional to 210,502.95, 290,480.13 and 119,868.18 is: 165,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,502.95 : 290,480.13 = 119,868.18 : x
  2. Step 2: Convert to fraction form
    210,502.95/290,480.13 = 119,868.18/x
  3. Step 3: Cross multiply
    210,502.95x = 290,480.13 × 119,868.18
  4. Step 4: Simplify right side
    210,502.95x = 34,819,324,509.26
  5. Step 5: Solve for x
    x = 34,819,324,509.26/210,502.95
  6. Step 6: Final answer
    x = 165,410.15

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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.