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Finding the Fourth Proportional to 149,114.70, 223,744.95 and 70,215.30

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Solution

The fourth proportional to 149,114.70, 223,744.95 and 70,215.30 is: 105,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,114.70 : 223,744.95 = 70,215.30 : x
  2. Step 2: Convert to fraction form
    149,114.70/223,744.95 = 70,215.30/x
  3. Step 3: Cross multiply
    149,114.70x = 223,744.95 × 70,215.30
  4. Step 4: Simplify right side
    149,114.70x = 15,710,318,787.74
  5. Step 5: Solve for x
    x = 15,710,318,787.74/149,114.70
  6. Step 6: Final answer
    x = 105,357.28

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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.