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Finding the Fourth Proportional to 105,430.73, 157,971.13 and 74,200.37

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Solution

The fourth proportional to 105,430.73, 157,971.13 and 74,200.37 is: 111,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,430.73 : 157,971.13 = 74,200.37 : x
  2. Step 2: Convert to fraction form
    105,430.73/157,971.13 = 74,200.37/x
  3. Step 3: Cross multiply
    105,430.73x = 157,971.13 × 74,200.37
  4. Step 4: Simplify right side
    105,430.73x = 11,721,515,319.96
  5. Step 5: Solve for x
    x = 11,721,515,319.96/105,430.73
  6. Step 6: Final answer
    x = 111,177.41

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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.