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Finding the Fourth Proportional to 142,980.40, 214,472.16 and 43,141.48

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Solution

The fourth proportional to 142,980.40, 214,472.16 and 43,141.48 is: 64,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,980.40 : 214,472.16 = 43,141.48 : x
  2. Step 2: Convert to fraction form
    142,980.40/214,472.16 = 43,141.48/x
  3. Step 3: Cross multiply
    142,980.40x = 214,472.16 × 43,141.48
  4. Step 4: Simplify right side
    142,980.40x = 9,252,646,401.20
  5. Step 5: Solve for x
    x = 9,252,646,401.20/142,980.40
  6. Step 6: Final answer
    x = 64,712.69

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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.