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Finding the Fourth Proportional to 145,273.19, 200,472.35 and 80,742.11

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Solution

The fourth proportional to 145,273.19, 200,472.35 and 80,742.11 is: 111,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,273.19 : 200,472.35 = 80,742.11 : x
  2. Step 2: Convert to fraction form
    145,273.19/200,472.35 = 80,742.11/x
  3. Step 3: Cross multiply
    145,273.19x = 200,472.35 × 80,742.11
  4. Step 4: Simplify right side
    145,273.19x = 16,186,559,129.59
  5. Step 5: Solve for x
    x = 16,186,559,129.59/145,273.19
  6. Step 6: Final answer
    x = 111,421.52

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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.