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Finding the Fourth Proportional to 71,333, 106,531.08 and 57,314.32

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Solution

The fourth proportional to 71,333, 106,531.08 and 57,314.32 is: 85,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,333 : 106,531.08 = 57,314.32 : x
  2. Step 2: Convert to fraction form
    71,333/106,531.08 = 57,314.32/x
  3. Step 3: Cross multiply
    71,333x = 106,531.08 × 57,314.32
  4. Step 4: Simplify right side
    71,333x = 6,105,756,409.07
  5. Step 5: Solve for x
    x = 6,105,756,409.07/71,333
  6. Step 6: Final answer
    x = 85,595.12

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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.