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Finding the Fourth Proportional to 76,394.76, 105,424.40 and 42,403.65

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Solution

The fourth proportional to 76,394.76, 105,424.40 and 42,403.65 is: 58,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,394.76 : 105,424.40 = 42,403.65 : x
  2. Step 2: Convert to fraction form
    76,394.76/105,424.40 = 42,403.65/x
  3. Step 3: Cross multiply
    76,394.76x = 105,424.40 × 42,403.65
  4. Step 4: Simplify right side
    76,394.76x = 4,470,379,147.04
  5. Step 5: Solve for x
    x = 4,470,379,147.04/76,394.76
  6. Step 6: Final answer
    x = 58,516.83

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1.5x scale

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.