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Finding the Fourth Proportional to 170,642.92, 255,964.49 and 70,776.30

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Solution

The fourth proportional to 170,642.92, 255,964.49 and 70,776.30 is: 106,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,642.92 : 255,964.49 = 70,776.30 : x
  2. Step 2: Convert to fraction form
    170,642.92/255,964.49 = 70,776.30/x
  3. Step 3: Cross multiply
    170,642.92x = 255,964.49 × 70,776.30
  4. Step 4: Simplify right side
    170,642.92x = 18,116,219,533.59
  5. Step 5: Solve for x
    x = 18,116,219,533.59/170,642.92
  6. Step 6: Final answer
    x = 106,164.50

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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.