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Finding the Fourth Proportional to 141,129.32, 194,751.54 and 77,465.96

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Solution

The fourth proportional to 141,129.32, 194,751.54 and 77,465.96 is: 106,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,129.32 : 194,751.54 = 77,465.96 : x
  2. Step 2: Convert to fraction form
    141,129.32/194,751.54 = 77,465.96/x
  3. Step 3: Cross multiply
    141,129.32x = 194,751.54 × 77,465.96
  4. Step 4: Simplify right side
    141,129.32x = 15,086,615,007.58
  5. Step 5: Solve for x
    x = 15,086,615,007.58/141,129.32
  6. Step 6: Final answer
    x = 106,899.23

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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.