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Finding the Fourth Proportional to 142,004.88, 195,959.90 and 77,470.28

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Solution

The fourth proportional to 142,004.88, 195,959.90 and 77,470.28 is: 106,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,004.88 : 195,959.90 = 77,470.28 : x
  2. Step 2: Convert to fraction form
    142,004.88/195,959.90 = 77,470.28/x
  3. Step 3: Cross multiply
    142,004.88x = 195,959.90 × 77,470.28
  4. Step 4: Simplify right side
    142,004.88x = 15,181,066,954.62
  5. Step 5: Solve for x
    x = 15,181,066,954.62/142,004.88
  6. Step 6: Final answer
    x = 106,905.25

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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.