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Finding the Fourth Proportional to 51,703.68, 77,552.43 and 18,421.98

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Solution

The fourth proportional to 51,703.68, 77,552.43 and 18,421.98 is: 27,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.68 : 77,552.43 = 18,421.98 : x
  2. Step 2: Convert to fraction form
    51,703.68/77,552.43 = 18,421.98/x
  3. Step 3: Cross multiply
    51,703.68x = 77,552.43 × 18,421.98
  4. Step 4: Simplify right side
    51,703.68x = 1,428,669,314.41
  5. Step 5: Solve for x
    x = 1,428,669,314.41/51,703.68
  6. Step 6: Final answer
    x = 27,631.87

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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.