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Finding the Fourth Proportional to 86,935.76, 130,419.96 and 34,345.68

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Solution

The fourth proportional to 86,935.76, 130,419.96 and 34,345.68 is: 51,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,935.76 : 130,419.96 = 34,345.68 : x
  2. Step 2: Convert to fraction form
    86,935.76/130,419.96 = 34,345.68/x
  3. Step 3: Cross multiply
    86,935.76x = 130,419.96 × 34,345.68
  4. Step 4: Simplify right side
    86,935.76x = 4,479,362,211.77
  5. Step 5: Solve for x
    x = 4,479,362,211.77/86,935.76
  6. Step 6: Final answer
    x = 51,524.97

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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.