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Finding the Fourth Proportional to 54,638.16, 75,392.64 and 30,760.08

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Solution

The fourth proportional to 54,638.16, 75,392.64 and 30,760.08 is: 42,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,638.16 : 75,392.64 = 30,760.08 : x
  2. Step 2: Convert to fraction form
    54,638.16/75,392.64 = 30,760.08/x
  3. Step 3: Cross multiply
    54,638.16x = 75,392.64 × 30,760.08
  4. Step 4: Simplify right side
    54,638.16x = 2,319,083,637.81
  5. Step 5: Solve for x
    x = 2,319,083,637.81/54,638.16
  6. Step 6: Final answer
    x = 42,444.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.