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Finding the Fourth Proportional to 141,309.76, 195,007.64 and 77,651.32

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Solution

The fourth proportional to 141,309.76, 195,007.64 and 77,651.32 is: 107,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,309.76 : 195,007.64 = 77,651.32 : x
  2. Step 2: Convert to fraction form
    141,309.76/195,007.64 = 77,651.32/x
  3. Step 3: Cross multiply
    141,309.76x = 195,007.64 × 77,651.32
  4. Step 4: Simplify right side
    141,309.76x = 15,142,600,656.08
  5. Step 5: Solve for x
    x = 15,142,600,656.08/141,309.76
  6. Step 6: Final answer
    x = 107,158.92

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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.