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Finding the Fourth Proportional to 145,189.92, 200,393.76 and 104,462.88

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Solution

The fourth proportional to 145,189.92, 200,393.76 and 104,462.88 is: 144,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,189.92 : 200,393.76 = 104,462.88 : x
  2. Step 2: Convert to fraction form
    145,189.92/200,393.76 = 104,462.88/x
  3. Step 3: Cross multiply
    145,189.92x = 200,393.76 × 104,462.88
  4. Step 4: Simplify right side
    145,189.92x = 20,933,709,303.63
  5. Step 5: Solve for x
    x = 20,933,709,303.63/145,189.92
  6. Step 6: Final answer
    x = 144,181.56

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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.