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Finding the Fourth Proportional to 145,294.94, 200,530.80 and 121,057.46

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Solution

The fourth proportional to 145,294.94, 200,530.80 and 121,057.46 is: 167,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,294.94 : 200,530.80 = 121,057.46 : x
  2. Step 2: Convert to fraction form
    145,294.94/200,530.80 = 121,057.46/x
  3. Step 3: Cross multiply
    145,294.94x = 200,530.80 × 121,057.46
  4. Step 4: Simplify right side
    145,294.94x = 24,275,749,299.77
  5. Step 5: Solve for x
    x = 24,275,749,299.77/145,294.94
  6. Step 6: Final answer
    x = 167,079.11

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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.