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Finding the Fourth Proportional to 51,870.80, 77,818.52 and 16,810.48

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Solution

The fourth proportional to 51,870.80, 77,818.52 and 16,810.48 is: 25,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870.80 : 77,818.52 = 16,810.48 : x
  2. Step 2: Convert to fraction form
    51,870.80/77,818.52 = 16,810.48/x
  3. Step 3: Cross multiply
    51,870.80x = 77,818.52 × 16,810.48
  4. Step 4: Simplify right side
    51,870.80x = 1,308,166,674.09
  5. Step 5: Solve for x
    x = 1,308,166,674.09/51,870.80
  6. Step 6: Final answer
    x = 25,219.71

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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.