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Finding the Fourth Proportional to 55,881.20, 83,821.80 and 14,328.20

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Solution

The fourth proportional to 55,881.20, 83,821.80 and 14,328.20 is: 21,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,881.20 : 83,821.80 = 14,328.20 : x
  2. Step 2: Convert to fraction form
    55,881.20/83,821.80 = 14,328.20/x
  3. Step 3: Cross multiply
    55,881.20x = 83,821.80 × 14,328.20
  4. Step 4: Simplify right side
    55,881.20x = 1,201,015,514.76
  5. Step 5: Solve for x
    x = 1,201,015,514.76/55,881.20
  6. Step 6: Final answer
    x = 21,492.30

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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.