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Finding the Fourth Proportional to 141,643.08, 195,468.39 and 77,981.94

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Solution

The fourth proportional to 141,643.08, 195,468.39 and 77,981.94 is: 107,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,643.08 : 195,468.39 = 77,981.94 : x
  2. Step 2: Convert to fraction form
    141,643.08/195,468.39 = 77,981.94/x
  3. Step 3: Cross multiply
    141,643.08x = 195,468.39 × 77,981.94
  4. Step 4: Simplify right side
    141,643.08x = 15,243,004,260.88
  5. Step 5: Solve for x
    x = 15,243,004,260.88/141,643.08
  6. Step 6: Final answer
    x = 107,615.59

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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.