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Finding the Fourth Proportional to 70,455.78, 105,695.34 and 34,918.77

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Solution

The fourth proportional to 70,455.78, 105,695.34 and 34,918.77 is: 52,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,455.78 : 105,695.34 = 34,918.77 : x
  2. Step 2: Convert to fraction form
    70,455.78/105,695.34 = 34,918.77/x
  3. Step 3: Cross multiply
    70,455.78x = 105,695.34 × 34,918.77
  4. Step 4: Simplify right side
    70,455.78x = 3,690,751,267.53
  5. Step 5: Solve for x
    x = 3,690,751,267.53/70,455.78
  6. Step 6: Final answer
    x = 52,383.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.