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Finding the Fourth Proportional to 102,942, 141,962.76 and 67,159.44

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Solution

The fourth proportional to 102,942, 141,962.76 and 67,159.44 is: 92,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942 : 141,962.76 = 67,159.44 : x
  2. Step 2: Convert to fraction form
    102,942/141,962.76 = 67,159.44/x
  3. Step 3: Cross multiply
    102,942x = 141,962.76 × 67,159.44
  4. Step 4: Simplify right side
    102,942x = 9,534,139,462.45
  5. Step 5: Solve for x
    x = 9,534,139,462.45/102,942
  6. Step 6: Final answer
    x = 92,616.61

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1.5x scale

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.