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Finding the Fourth Proportional to 101,755.64, 140,423.81 and 56,434.32

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Solution

The fourth proportional to 101,755.64, 140,423.81 and 56,434.32 is: 77,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755.64 : 140,423.81 = 56,434.32 : x
  2. Step 2: Convert to fraction form
    101,755.64/140,423.81 = 56,434.32/x
  3. Step 3: Cross multiply
    101,755.64x = 140,423.81 × 56,434.32
  4. Step 4: Simplify right side
    101,755.64x = 7,924,722,229.16
  5. Step 5: Solve for x
    x = 7,924,722,229.16/101,755.64
  6. Step 6: Final answer
    x = 77,879.93

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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.