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Finding the Fourth Proportional to 53,990.74, 80,978.28 and 20,719.18

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Solution

The fourth proportional to 53,990.74, 80,978.28 and 20,719.18 is: 31,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,990.74 : 80,978.28 = 20,719.18 : x
  2. Step 2: Convert to fraction form
    53,990.74/80,978.28 = 20,719.18/x
  3. Step 3: Cross multiply
    53,990.74x = 80,978.28 × 20,719.18
  4. Step 4: Simplify right side
    53,990.74x = 1,677,803,559.41
  5. Step 5: Solve for x
    x = 1,677,803,559.41/53,990.74
  6. Step 6: Final answer
    x = 31,075.77

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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.