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Finding the Fourth Proportional to 142,392.47, 196,505.54 and 78,732.54

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Solution

The fourth proportional to 142,392.47, 196,505.54 and 78,732.54 is: 108,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,392.47 : 196,505.54 = 78,732.54 : x
  2. Step 2: Convert to fraction form
    142,392.47/196,505.54 = 78,732.54/x
  3. Step 3: Cross multiply
    142,392.47x = 196,505.54 × 78,732.54
  4. Step 4: Simplify right side
    142,392.47x = 15,471,379,894.61
  5. Step 5: Solve for x
    x = 15,471,379,894.61/142,392.47
  6. Step 6: Final answer
    x = 108,653.08

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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.