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Finding the Fourth Proportional to 86,357.82, 119,165.70 and 63,709.40

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Solution

The fourth proportional to 86,357.82, 119,165.70 and 63,709.40 is: 87,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,357.82 : 119,165.70 = 63,709.40 : x
  2. Step 2: Convert to fraction form
    86,357.82/119,165.70 = 63,709.40/x
  3. Step 3: Cross multiply
    86,357.82x = 119,165.70 × 63,709.40
  4. Step 4: Simplify right side
    86,357.82x = 7,591,975,247.58
  5. Step 5: Solve for x
    x = 7,591,975,247.58/86,357.82
  6. Step 6: Final answer
    x = 87,913.00

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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.