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Finding the Fourth Proportional to 51,870.46, 77,800.02 and 16,800.70

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Solution

The fourth proportional to 51,870.46, 77,800.02 and 16,800.70 is: 25,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870.46 : 77,800.02 = 16,800.70 : x
  2. Step 2: Convert to fraction form
    51,870.46/77,800.02 = 16,800.70/x
  3. Step 3: Cross multiply
    51,870.46x = 77,800.02 × 16,800.70
  4. Step 4: Simplify right side
    51,870.46x = 1,307,094,796.01
  5. Step 5: Solve for x
    x = 1,307,094,796.01/51,870.46
  6. Step 6: Final answer
    x = 25,199.21

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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.