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Finding the Fourth Proportional to 142,809.85, 214,171.60 and 42,943.53

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Solution

The fourth proportional to 142,809.85, 214,171.60 and 42,943.53 is: 64,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,809.85 : 214,171.60 = 42,943.53 : x
  2. Step 2: Convert to fraction form
    142,809.85/214,171.60 = 42,943.53/x
  3. Step 3: Cross multiply
    142,809.85x = 214,171.60 × 42,943.53
  4. Step 4: Simplify right side
    142,809.85x = 9,197,284,529.75
  5. Step 5: Solve for x
    x = 9,197,284,529.75/142,809.85
  6. Step 6: Final answer
    x = 64,402.31

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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.