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Finding the Fourth Proportional to 142,502.58, 196,639.79 and 78,839.01

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Solution

The fourth proportional to 142,502.58, 196,639.79 and 78,839.01 is: 108,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,502.58 : 196,639.79 = 78,839.01 : x
  2. Step 2: Convert to fraction form
    142,502.58/196,639.79 = 78,839.01/x
  3. Step 3: Cross multiply
    142,502.58x = 196,639.79 × 78,839.01
  4. Step 4: Simplify right side
    142,502.58x = 15,502,886,370.21
  5. Step 5: Solve for x
    x = 15,502,886,370.21/142,502.58
  6. Step 6: Final answer
    x = 108,790.22

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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.