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Finding the Fourth Proportional to 54,038.82, 81,041.76 and 18,970.14

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Solution

The fourth proportional to 54,038.82, 81,041.76 and 18,970.14 is: 28,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038.82 : 81,041.76 = 18,970.14 : x
  2. Step 2: Convert to fraction form
    54,038.82/81,041.76 = 18,970.14/x
  3. Step 3: Cross multiply
    54,038.82x = 81,041.76 × 18,970.14
  4. Step 4: Simplify right side
    54,038.82x = 1,537,373,533.05
  5. Step 5: Solve for x
    x = 1,537,373,533.05/54,038.82
  6. Step 6: Final answer
    x = 28,449.43

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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.