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Finding the Fourth Proportional to 86,464.96, 129,712.80 and 29,535.76

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Solution

The fourth proportional to 86,464.96, 129,712.80 and 29,535.76 is: 44,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,464.96 : 129,712.80 = 29,535.76 : x
  2. Step 2: Convert to fraction form
    86,464.96/129,712.80 = 29,535.76/x
  3. Step 3: Cross multiply
    86,464.96x = 129,712.80 × 29,535.76
  4. Step 4: Simplify right side
    86,464.96x = 3,831,166,129.73
  5. Step 5: Solve for x
    x = 3,831,166,129.73/86,464.96
  6. Step 6: Final answer
    x = 44,308.89

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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.