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Finding the Fourth Proportional to 145,071.96, 217,606.90 and 102,200.96

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Solution

The fourth proportional to 145,071.96, 217,606.90 and 102,200.96 is: 153,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,071.96 : 217,606.90 = 102,200.96 : x
  2. Step 2: Convert to fraction form
    145,071.96/217,606.90 = 102,200.96/x
  3. Step 3: Cross multiply
    145,071.96x = 217,606.90 × 102,200.96
  4. Step 4: Simplify right side
    145,071.96x = 22,239,634,082.62
  5. Step 5: Solve for x
    x = 22,239,634,082.62/145,071.96
  6. Step 6: Final answer
    x = 153,300.71

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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.