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Finding the Fourth Proportional to 210,503.95, 290,481.51 and 119,869.18

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Solution

The fourth proportional to 210,503.95, 290,481.51 and 119,869.18 is: 165,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,503.95 : 290,481.51 = 119,869.18 : x
  2. Step 2: Convert to fraction form
    210,503.95/290,481.51 = 119,869.18/x
  3. Step 3: Cross multiply
    210,503.95x = 290,481.51 × 119,869.18
  4. Step 4: Simplify right side
    210,503.95x = 34,819,780,408.86
  5. Step 5: Solve for x
    x = 34,819,780,408.86/210,503.95
  6. Step 6: Final answer
    x = 165,411.53

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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.