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Finding the Fourth Proportional to 101,705.88, 140,354.10 and 56,383.75

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Solution

The fourth proportional to 101,705.88, 140,354.10 and 56,383.75 is: 77,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,705.88 : 140,354.10 = 56,383.75 : x
  2. Step 2: Convert to fraction form
    101,705.88/140,354.10 = 56,383.75/x
  3. Step 3: Cross multiply
    101,705.88x = 140,354.10 × 56,383.75
  4. Step 4: Simplify right side
    101,705.88x = 7,913,689,502.19
  5. Step 5: Solve for x
    x = 7,913,689,502.19/101,705.88
  6. Step 6: Final answer
    x = 77,809.56

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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.