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Finding the Fourth Proportional to 77,903.70, 116,867.07 and 31,155.54

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Solution

The fourth proportional to 77,903.70, 116,867.07 and 31,155.54 is: 46,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,903.70 : 116,867.07 = 31,155.54 : x
  2. Step 2: Convert to fraction form
    77,903.70/116,867.07 = 31,155.54/x
  3. Step 3: Cross multiply
    77,903.70x = 116,867.07 × 31,155.54
  4. Step 4: Simplify right side
    77,903.70x = 3,641,056,674.07
  5. Step 5: Solve for x
    x = 3,641,056,674.07/77,903.70
  6. Step 6: Final answer
    x = 46,737.92

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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.