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Finding the Fourth Proportional to 77,957.43, 116,928.86 and 21,802.56

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Solution

The fourth proportional to 77,957.43, 116,928.86 and 21,802.56 is: 32,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,957.43 : 116,928.86 = 21,802.56 : x
  2. Step 2: Convert to fraction form
    77,957.43/116,928.86 = 21,802.56/x
  3. Step 3: Cross multiply
    77,957.43x = 116,928.86 × 21,802.56
  4. Step 4: Simplify right side
    77,957.43x = 2,549,348,376.87
  5. Step 5: Solve for x
    x = 2,549,348,376.87/77,957.43
  6. Step 6: Final answer
    x = 32,701.80

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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.