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Finding the Fourth Proportional to 86,930, 119,971 and 48,688.92

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Solution

The fourth proportional to 86,930, 119,971 and 48,688.92 is: 67,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,930 : 119,971 = 48,688.92 : x
  2. Step 2: Convert to fraction form
    86,930/119,971 = 48,688.92/x
  3. Step 3: Cross multiply
    86,930x = 119,971 × 48,688.92
  4. Step 4: Simplify right side
    86,930x = 5,841,258,421.32
  5. Step 5: Solve for x
    x = 5,841,258,421.32/86,930
  6. Step 6: Final answer
    x = 67,194.97

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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.