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Finding the Fourth Proportional to 137,222.40, 205,430.40 and 102,316.80

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Solution

The fourth proportional to 137,222.40, 205,430.40 and 102,316.80 is: 153,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,222.40 : 205,430.40 = 102,316.80 : x
  2. Step 2: Convert to fraction form
    137,222.40/205,430.40 = 102,316.80/x
  3. Step 3: Cross multiply
    137,222.40x = 205,430.40 × 102,316.80
  4. Step 4: Simplify right side
    137,222.40x = 21,018,981,150.72
  5. Step 5: Solve for x
    x = 21,018,981,150.72/137,222.40
  6. Step 6: Final answer
    x = 153,174.56

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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.