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Finding the Fourth Proportional to 76,386.98, 105,415.14 and 42,396.14

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Solution

The fourth proportional to 76,386.98, 105,415.14 and 42,396.14 is: 58,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,386.98 : 105,415.14 = 42,396.14 : x
  2. Step 2: Convert to fraction form
    76,386.98/105,415.14 = 42,396.14/x
  3. Step 3: Cross multiply
    76,386.98x = 105,415.14 × 42,396.14
  4. Step 4: Simplify right side
    76,386.98x = 4,469,195,033.56
  5. Step 5: Solve for x
    x = 4,469,195,033.56/76,386.98
  6. Step 6: Final answer
    x = 58,507.29

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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.