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Finding the Fourth Proportional to 210,705.87, 315,910.95 and 77,569.05

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Solution

The fourth proportional to 210,705.87, 315,910.95 and 77,569.05 is: 116,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,705.87 : 315,910.95 = 77,569.05 : x
  2. Step 2: Convert to fraction form
    210,705.87/315,910.95 = 77,569.05/x
  3. Step 3: Cross multiply
    210,705.87x = 315,910.95 × 77,569.05
  4. Step 4: Simplify right side
    210,705.87x = 24,504,912,276.10
  5. Step 5: Solve for x
    x = 24,504,912,276.10/210,705.87
  6. Step 6: Final answer
    x = 116,299.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.