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Finding the Fourth Proportional to 52,273.30, 78,409.95 and 51,409.30

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Solution

The fourth proportional to 52,273.30, 78,409.95 and 51,409.30 is: 77,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,273.30 : 78,409.95 = 51,409.30 : x
  2. Step 2: Convert to fraction form
    52,273.30/78,409.95 = 51,409.30/x
  3. Step 3: Cross multiply
    52,273.30x = 78,409.95 × 51,409.30
  4. Step 4: Simplify right side
    52,273.30x = 4,031,000,642.54
  5. Step 5: Solve for x
    x = 4,031,000,642.54/52,273.30
  6. Step 6: Final answer
    x = 77,113.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.