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Finding the Fourth Proportional to 54,838.80, 75,677.72 and 29,688.30

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Solution

The fourth proportional to 54,838.80, 75,677.72 and 29,688.30 is: 40,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.80 : 75,677.72 = 29,688.30 : x
  2. Step 2: Convert to fraction form
    54,838.80/75,677.72 = 29,688.30/x
  3. Step 3: Cross multiply
    54,838.80x = 75,677.72 × 29,688.30
  4. Step 4: Simplify right side
    54,838.80x = 2,246,742,576.89
  5. Step 5: Solve for x
    x = 2,246,742,576.89/54,838.80
  6. Step 6: Final answer
    x = 40,969.95

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1.5x scale

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.