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Finding the Fourth Proportional to 141,937, 195,874.50 and 85,349.32

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Solution

The fourth proportional to 141,937, 195,874.50 and 85,349.32 is: 117,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,937 : 195,874.50 = 85,349.32 : x
  2. Step 2: Convert to fraction form
    141,937/195,874.50 = 85,349.32/x
  3. Step 3: Cross multiply
    141,937x = 195,874.50 × 85,349.32
  4. Step 4: Simplify right side
    141,937x = 16,717,755,380.34
  5. Step 5: Solve for x
    x = 16,717,755,380.34/141,937
  6. Step 6: Final answer
    x = 117,782.93

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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.