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Finding the Fourth Proportional to 77,470.94, 116,187.27 and 21,308.33

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Solution

The fourth proportional to 77,470.94, 116,187.27 and 21,308.33 is: 31,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,470.94 : 116,187.27 = 21,308.33 : x
  2. Step 2: Convert to fraction form
    77,470.94/116,187.27 = 21,308.33/x
  3. Step 3: Cross multiply
    77,470.94x = 116,187.27 × 21,308.33
  4. Step 4: Simplify right side
    77,470.94x = 2,475,756,690.96
  5. Step 5: Solve for x
    x = 2,475,756,690.96/77,470.94
  6. Step 6: Final answer
    x = 31,957.23

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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.