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Finding the Fourth Proportional to 49,790.70, 74,686.05 and 31,358.70

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Solution

The fourth proportional to 49,790.70, 74,686.05 and 31,358.70 is: 47,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,790.70 : 74,686.05 = 31,358.70 : x
  2. Step 2: Convert to fraction form
    49,790.70/74,686.05 = 31,358.70/x
  3. Step 3: Cross multiply
    49,790.70x = 74,686.05 × 31,358.70
  4. Step 4: Simplify right side
    49,790.70x = 2,342,057,436.14
  5. Step 5: Solve for x
    x = 2,342,057,436.14/49,790.70
  6. Step 6: Final answer
    x = 47,038.05

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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.