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Finding the Fourth Proportional to 77,407.20, 116,110.80 and 21,247.20

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Solution

The fourth proportional to 77,407.20, 116,110.80 and 21,247.20 is: 31,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,407.20 : 116,110.80 = 21,247.20 : x
  2. Step 2: Convert to fraction form
    77,407.20/116,110.80 = 21,247.20/x
  3. Step 3: Cross multiply
    77,407.20x = 116,110.80 × 21,247.20
  4. Step 4: Simplify right side
    77,407.20x = 2,467,029,389.76
  5. Step 5: Solve for x
    x = 2,467,029,389.76/77,407.20
  6. Step 6: Final answer
    x = 31,870.80

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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.