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Finding the Fourth Proportional to 141,830.16, 195,733.32 and 81,400.32

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Solution

The fourth proportional to 141,830.16, 195,733.32 and 81,400.32 is: 112,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,830.16 : 195,733.32 = 81,400.32 : x
  2. Step 2: Convert to fraction form
    141,830.16/195,733.32 = 81,400.32/x
  3. Step 3: Cross multiply
    141,830.16x = 195,733.32 × 81,400.32
  4. Step 4: Simplify right side
    141,830.16x = 15,932,754,882.66
  5. Step 5: Solve for x
    x = 15,932,754,882.66/141,830.16
  6. Step 6: Final answer
    x = 112,336.86

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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.