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Finding the Fourth Proportional to 54,497.61, 81,790.16 and 28,209.87

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Solution

The fourth proportional to 54,497.61, 81,790.16 and 28,209.87 is: 42,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497.61 : 81,790.16 = 28,209.87 : x
  2. Step 2: Convert to fraction form
    54,497.61/81,790.16 = 28,209.87/x
  3. Step 3: Cross multiply
    54,497.61x = 81,790.16 × 28,209.87
  4. Step 4: Simplify right side
    54,497.61x = 2,307,289,639.83
  5. Step 5: Solve for x
    x = 2,307,289,639.83/54,497.61
  6. Step 6: Final answer
    x = 42,337.45

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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.