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Finding the Fourth Proportional to 56,377.50, 77,800.95 and 34,021.50

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Solution

The fourth proportional to 56,377.50, 77,800.95 and 34,021.50 is: 46,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,377.50 : 77,800.95 = 34,021.50 : x
  2. Step 2: Convert to fraction form
    56,377.50/77,800.95 = 34,021.50/x
  3. Step 3: Cross multiply
    56,377.50x = 77,800.95 × 34,021.50
  4. Step 4: Simplify right side
    56,377.50x = 2,646,905,020.43
  5. Step 5: Solve for x
    x = 2,646,905,020.43/56,377.50
  6. Step 6: Final answer
    x = 46,949.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.