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Finding the Fourth Proportional to 51,881.71, 77,790.59 and 20,254.95

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Solution

The fourth proportional to 51,881.71, 77,790.59 and 20,254.95 is: 30,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,881.71 : 77,790.59 = 20,254.95 : x
  2. Step 2: Convert to fraction form
    51,881.71/77,790.59 = 20,254.95/x
  3. Step 3: Cross multiply
    51,881.71x = 77,790.59 × 20,254.95
  4. Step 4: Simplify right side
    51,881.71x = 1,575,644,409.65
  5. Step 5: Solve for x
    x = 1,575,644,409.65/51,881.71
  6. Step 6: Final answer
    x = 30,369.94

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Why These Related Problems?

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