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Finding the Fourth Proportional to 142,553.25, 196,720.45 and 78,022.47

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Solution

The fourth proportional to 142,553.25, 196,720.45 and 78,022.47 is: 107,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,553.25 : 196,720.45 = 78,022.47 : x
  2. Step 2: Convert to fraction form
    142,553.25/196,720.45 = 78,022.47/x
  3. Step 3: Cross multiply
    142,553.25x = 196,720.45 × 78,022.47
  4. Step 4: Simplify right side
    142,553.25x = 15,348,615,951.16
  5. Step 5: Solve for x
    x = 15,348,615,951.16/142,553.25
  6. Step 6: Final answer
    x = 107,669.35

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1.5x scale

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.