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Finding the Fourth Proportional to 139,970.10, 209,954.19 and 34,788.90

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Solution

The fourth proportional to 139,970.10, 209,954.19 and 34,788.90 is: 52,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,970.10 : 209,954.19 = 34,788.90 : x
  2. Step 2: Convert to fraction form
    139,970.10/209,954.19 = 34,788.90/x
  3. Step 3: Cross multiply
    139,970.10x = 209,954.19 × 34,788.90
  4. Step 4: Simplify right side
    139,970.10x = 7,304,075,320.49
  5. Step 5: Solve for x
    x = 7,304,075,320.49/139,970.10
  6. Step 6: Final answer
    x = 52,183.11

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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.