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Finding the Fourth Proportional to 73,684.96, 110,510.80 and 21,083.36

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Solution

The fourth proportional to 73,684.96, 110,510.80 and 21,083.36 is: 31,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,684.96 : 110,510.80 = 21,083.36 : x
  2. Step 2: Convert to fraction form
    73,684.96/110,510.80 = 21,083.36/x
  3. Step 3: Cross multiply
    73,684.96x = 110,510.80 × 21,083.36
  4. Step 4: Simplify right side
    73,684.96x = 2,329,938,980.29
  5. Step 5: Solve for x
    x = 2,329,938,980.29/73,684.96
  6. Step 6: Final answer
    x = 31,620.28

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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.