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Finding the Fourth Proportional to 86,471.78, 119,285.66 and 70,357.10

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Solution

The fourth proportional to 86,471.78, 119,285.66 and 70,357.10 is: 97,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,471.78 : 119,285.66 = 70,357.10 : x
  2. Step 2: Convert to fraction form
    86,471.78/119,285.66 = 70,357.10/x
  3. Step 3: Cross multiply
    86,471.78x = 119,285.66 × 70,357.10
  4. Step 4: Simplify right side
    86,471.78x = 8,392,593,109.19
  5. Step 5: Solve for x
    x = 8,392,593,109.19/86,471.78
  6. Step 6: Final answer
    x = 97,055.87

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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.