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Finding the Fourth Proportional to 74,185.95, 102,320.76 and 51,525

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Solution

The fourth proportional to 74,185.95, 102,320.76 and 51,525 is: 71,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,185.95 : 102,320.76 = 51,525 : x
  2. Step 2: Convert to fraction form
    74,185.95/102,320.76 = 51,525/x
  3. Step 3: Cross multiply
    74,185.95x = 102,320.76 × 51,525
  4. Step 4: Simplify right side
    74,185.95x = 5,272,077,159
  5. Step 5: Solve for x
    x = 5,272,077,159/74,185.95
  6. Step 6: Final answer
    x = 71,065.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.