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Finding the Fourth Proportional to 76,391.95, 105,415.91 and 42,398.79

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Solution

The fourth proportional to 76,391.95, 105,415.91 and 42,398.79 is: 58,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,391.95 : 105,415.91 = 42,398.79 : x
  2. Step 2: Convert to fraction form
    76,391.95/105,415.91 = 42,398.79/x
  3. Step 3: Cross multiply
    76,391.95x = 105,415.91 × 42,398.79
  4. Step 4: Simplify right side
    76,391.95x = 4,469,507,056.16
  5. Step 5: Solve for x
    x = 4,469,507,056.16/76,391.95
  6. Step 6: Final answer
    x = 58,507.57

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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.