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Finding the Fourth Proportional to 74,876.66, 112,314.67 and 19,472.50

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Solution

The fourth proportional to 74,876.66, 112,314.67 and 19,472.50 is: 29,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,876.66 : 112,314.67 = 19,472.50 : x
  2. Step 2: Convert to fraction form
    74,876.66/112,314.67 = 19,472.50/x
  3. Step 3: Cross multiply
    74,876.66x = 112,314.67 × 19,472.50
  4. Step 4: Simplify right side
    74,876.66x = 2,187,047,411.58
  5. Step 5: Solve for x
    x = 2,187,047,411.58/74,876.66
  6. Step 6: Final answer
    x = 29,208.67

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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.