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Finding the Fourth Proportional to 188,432.86, 260,036.58 and 107,860

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Solution

The fourth proportional to 188,432.86, 260,036.58 and 107,860 is: 148,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,432.86 : 260,036.58 = 107,860 : x
  2. Step 2: Convert to fraction form
    188,432.86/260,036.58 = 107,860/x
  3. Step 3: Cross multiply
    188,432.86x = 260,036.58 × 107,860
  4. Step 4: Simplify right side
    188,432.86x = 28,047,545,518.80
  5. Step 5: Solve for x
    x = 28,047,545,518.80/188,432.86
  6. Step 6: Final answer
    x = 148,846.36

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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.