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Finding the Fourth Proportional to 54,838.80, 82,133.36 and 42,918.24

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Solution

The fourth proportional to 54,838.80, 82,133.36 and 42,918.24 is: 64,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.80 : 82,133.36 = 42,918.24 : x
  2. Step 2: Convert to fraction form
    54,838.80/82,133.36 = 42,918.24/x
  3. Step 3: Cross multiply
    54,838.80x = 82,133.36 × 42,918.24
  4. Step 4: Simplify right side
    54,838.80x = 3,525,018,953.12
  5. Step 5: Solve for x
    x = 3,525,018,953.12/54,838.80
  6. Step 6: Final answer
    x = 64,279.65

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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.