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Finding the Fourth Proportional to 101,870, 140,582.76 and 57,158

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Solution

The fourth proportional to 101,870, 140,582.76 and 57,158 is: 78,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,870 : 140,582.76 = 57,158 : x
  2. Step 2: Convert to fraction form
    101,870/140,582.76 = 57,158/x
  3. Step 3: Cross multiply
    101,870x = 140,582.76 × 57,158
  4. Step 4: Simplify right side
    101,870x = 8,035,429,396.08
  5. Step 5: Solve for x
    x = 8,035,429,396.08/101,870
  6. Step 6: Final answer
    x = 78,879.25

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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.