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Finding the Fourth Proportional to 142,642.40, 213,963.60 and 105,317.60

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Solution

The fourth proportional to 142,642.40, 213,963.60 and 105,317.60 is: 157,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,642.40 : 213,963.60 = 105,317.60 : x
  2. Step 2: Convert to fraction form
    142,642.40/213,963.60 = 105,317.60/x
  3. Step 3: Cross multiply
    142,642.40x = 213,963.60 × 105,317.60
  4. Step 4: Simplify right side
    142,642.40x = 22,534,132,839.36
  5. Step 5: Solve for x
    x = 22,534,132,839.36/142,642.40
  6. Step 6: Final answer
    x = 157,976.40

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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.