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Finding the Fourth Proportional to 76,393.65, 105,421.65 and 42,400.14

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Solution

The fourth proportional to 76,393.65, 105,421.65 and 42,400.14 is: 58,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,393.65 : 105,421.65 = 42,400.14 : x
  2. Step 2: Convert to fraction form
    76,393.65/105,421.65 = 42,400.14/x
  3. Step 3: Cross multiply
    76,393.65x = 105,421.65 × 42,400.14
  4. Step 4: Simplify right side
    76,393.65x = 4,469,892,507.03
  5. Step 5: Solve for x
    x = 4,469,892,507.03/76,393.65
  6. Step 6: Final answer
    x = 58,511.31

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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.