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Finding the Fourth Proportional to 141,920, 195,851.04 and 85,332.32

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Solution

The fourth proportional to 141,920, 195,851.04 and 85,332.32 is: 117,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,920 : 195,851.04 = 85,332.32 : x
  2. Step 2: Convert to fraction form
    141,920/195,851.04 = 85,332.32/x
  3. Step 3: Cross multiply
    141,920x = 195,851.04 × 85,332.32
  4. Step 4: Simplify right side
    141,920x = 16,712,423,617.61
  5. Step 5: Solve for x
    x = 16,712,423,617.61/141,920
  6. Step 6: Final answer
    x = 117,759.47

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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.