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Finding the Fourth Proportional to 54,587.98, 75,330.54 and 30,714.64

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Solution

The fourth proportional to 54,587.98, 75,330.54 and 30,714.64 is: 42,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,587.98 : 75,330.54 = 30,714.64 : x
  2. Step 2: Convert to fraction form
    54,587.98/75,330.54 = 30,714.64/x
  3. Step 3: Cross multiply
    54,587.98x = 75,330.54 × 30,714.64
  4. Step 4: Simplify right side
    54,587.98x = 2,313,750,417.11
  5. Step 5: Solve for x
    x = 2,313,750,417.11/54,587.98
  6. Step 6: Final answer
    x = 42,385.71

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