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Finding the Fourth Proportional to 54,978.07, 82,466.88 and 19,909.51

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Solution

The fourth proportional to 54,978.07, 82,466.88 and 19,909.51 is: 29,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.07 : 82,466.88 = 19,909.51 : x
  2. Step 2: Convert to fraction form
    54,978.07/82,466.88 = 19,909.51/x
  3. Step 3: Cross multiply
    54,978.07x = 82,466.88 × 19,909.51
  4. Step 4: Simplify right side
    54,978.07x = 1,641,875,172.03
  5. Step 5: Solve for x
    x = 1,641,875,172.03/54,978.07
  6. Step 6: Final answer
    x = 29,864.18

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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.