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Finding the Fourth Proportional to 71,338, 106,538.53 and 57,319.32

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Solution

The fourth proportional to 71,338, 106,538.53 and 57,319.32 is: 85,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,338 : 106,538.53 = 57,319.32 : x
  2. Step 2: Convert to fraction form
    71,338/106,538.53 = 57,319.32/x
  3. Step 3: Cross multiply
    71,338x = 106,538.53 × 57,319.32
  4. Step 4: Simplify right side
    71,338x = 6,106,716,093.40
  5. Step 5: Solve for x
    x = 6,106,716,093.40/71,338
  6. Step 6: Final answer
    x = 85,602.57

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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.