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Finding the Fourth Proportional to 106,358.40, 146,764.80 and 61,027.20

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Solution

The fourth proportional to 106,358.40, 146,764.80 and 61,027.20 is: 84,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,358.40 : 146,764.80 = 61,027.20 : x
  2. Step 2: Convert to fraction form
    106,358.40/146,764.80 = 61,027.20/x
  3. Step 3: Cross multiply
    106,358.40x = 146,764.80 × 61,027.20
  4. Step 4: Simplify right side
    106,358.40x = 8,956,644,802.56
  5. Step 5: Solve for x
    x = 8,956,644,802.56/106,358.40
  6. Step 6: Final answer
    x = 84,211.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.