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Finding the Fourth Proportional to 70,928.16, 106,403.76 and 21,013.08

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Solution

The fourth proportional to 70,928.16, 106,403.76 and 21,013.08 is: 31,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,928.16 : 106,403.76 = 21,013.08 : x
  2. Step 2: Convert to fraction form
    70,928.16/106,403.76 = 21,013.08/x
  3. Step 3: Cross multiply
    70,928.16x = 106,403.76 × 21,013.08
  4. Step 4: Simplify right side
    70,928.16x = 2,235,870,721.18
  5. Step 5: Solve for x
    x = 2,235,870,721.18/70,928.16
  6. Step 6: Final answer
    x = 31,523.03

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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.