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Finding the Fourth Proportional to 142,003.73, 195,965.14 and 78,341.53

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Solution

The fourth proportional to 142,003.73, 195,965.14 and 78,341.53 is: 108,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,003.73 : 195,965.14 = 78,341.53 : x
  2. Step 2: Convert to fraction form
    142,003.73/195,965.14 = 78,341.53/x
  3. Step 3: Cross multiply
    142,003.73x = 195,965.14 × 78,341.53
  4. Step 4: Simplify right side
    142,003.73x = 15,352,208,894.26
  5. Step 5: Solve for x
    x = 15,352,208,894.26/142,003.73
  6. Step 6: Final answer
    x = 108,111.31

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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.