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Finding the Fourth Proportional to 70,309.92, 105,427.08 and 30,821.16

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Solution

The fourth proportional to 70,309.92, 105,427.08 and 30,821.16 is: 46,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,309.92 : 105,427.08 = 30,821.16 : x
  2. Step 2: Convert to fraction form
    70,309.92/105,427.08 = 30,821.16/x
  3. Step 3: Cross multiply
    70,309.92x = 105,427.08 × 30,821.16
  4. Step 4: Simplify right side
    70,309.92x = 3,249,384,901.01
  5. Step 5: Solve for x
    x = 3,249,384,901.01/70,309.92
  6. Step 6: Final answer
    x = 46,215.17

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1.5x scale

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.