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Finding the Fourth Proportional to 71,339, 106,540.02 and 57,320.32

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Solution

The fourth proportional to 71,339, 106,540.02 and 57,320.32 is: 85,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,339 : 106,540.02 = 57,320.32 : x
  2. Step 2: Convert to fraction form
    71,339/106,540.02 = 57,320.32/x
  3. Step 3: Cross multiply
    71,339x = 106,540.02 × 57,320.32
  4. Step 4: Simplify right side
    71,339x = 6,106,908,039.21
  5. Step 5: Solve for x
    x = 6,106,908,039.21/71,339
  6. Step 6: Final answer
    x = 85,604.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.