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Finding the Fourth Proportional to 142,480, 196,605.39 and 78,809.14

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Solution

The fourth proportional to 142,480, 196,605.39 and 78,809.14 is: 108,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,480 : 196,605.39 = 78,809.14 : x
  2. Step 2: Convert to fraction form
    142,480/196,605.39 = 78,809.14/x
  3. Step 3: Cross multiply
    142,480x = 196,605.39 × 78,809.14
  4. Step 4: Simplify right side
    142,480x = 15,494,301,705.26
  5. Step 5: Solve for x
    x = 15,494,301,705.26/142,480
  6. Step 6: Final answer
    x = 108,747.20

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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.