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Finding the Fourth Proportional to 57,645.46, 85,895.13 and 51,357.15

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Solution

The fourth proportional to 57,645.46, 85,895.13 and 51,357.15 is: 76,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645.46 : 85,895.13 = 51,357.15 : x
  2. Step 2: Convert to fraction form
    57,645.46/85,895.13 = 51,357.15/x
  3. Step 3: Cross multiply
    57,645.46x = 85,895.13 × 51,357.15
  4. Step 4: Simplify right side
    57,645.46x = 4,411,329,075.68
  5. Step 5: Solve for x
    x = 4,411,329,075.68/57,645.46
  6. Step 6: Final answer
    x = 76,525.18

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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.