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Finding the Fourth Proportional to 50,802.50, 70,107.66 and 28,141

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Solution

The fourth proportional to 50,802.50, 70,107.66 and 28,141 is: 38,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,802.50 : 70,107.66 = 28,141 : x
  2. Step 2: Convert to fraction form
    50,802.50/70,107.66 = 28,141/x
  3. Step 3: Cross multiply
    50,802.50x = 70,107.66 × 28,141
  4. Step 4: Simplify right side
    50,802.50x = 1,972,899,660.06
  5. Step 5: Solve for x
    x = 1,972,899,660.06/50,802.50
  6. Step 6: Final answer
    x = 38,834.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.