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Finding the Fourth Proportional to 77,574.85, 116,368.96 and 21,414.97

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Solution

The fourth proportional to 77,574.85, 116,368.96 and 21,414.97 is: 32,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574.85 : 116,368.96 = 21,414.97 : x
  2. Step 2: Convert to fraction form
    77,574.85/116,368.96 = 21,414.97/x
  3. Step 3: Cross multiply
    77,574.85x = 116,368.96 × 21,414.97
  4. Step 4: Simplify right side
    77,574.85x = 2,492,037,787.33
  5. Step 5: Solve for x
    x = 2,492,037,787.33/77,574.85
  6. Step 6: Final answer
    x = 32,124.30

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1.5x scale

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.