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Finding the Fourth Proportional to 149,061.60, 223,203.60 and 142,063.20

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Solution

The fourth proportional to 149,061.60, 223,203.60 and 142,063.20 is: 212,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,061.60 : 223,203.60 = 142,063.20 : x
  2. Step 2: Convert to fraction form
    149,061.60/223,203.60 = 142,063.20/x
  3. Step 3: Cross multiply
    149,061.60x = 223,203.60 × 142,063.20
  4. Step 4: Simplify right side
    149,061.60x = 31,709,017,667.52
  5. Step 5: Solve for x
    x = 31,709,017,667.52/149,061.60
  6. Step 6: Final answer
    x = 212,724.25

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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.