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Finding the Fourth Proportional to 54,657.84, 81,978.60 and 15,210.84

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Solution

The fourth proportional to 54,657.84, 81,978.60 and 15,210.84 is: 22,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657.84 : 81,978.60 = 15,210.84 : x
  2. Step 2: Convert to fraction form
    54,657.84/81,978.60 = 15,210.84/x
  3. Step 3: Cross multiply
    54,657.84x = 81,978.60 × 15,210.84
  4. Step 4: Simplify right side
    54,657.84x = 1,246,963,368.02
  5. Step 5: Solve for x
    x = 1,246,963,368.02/54,657.84
  6. Step 6: Final answer
    x = 22,813.99

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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.