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Finding the Fourth Proportional to 76,382.69, 105,408.11 and 42,848.69

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Solution

The fourth proportional to 76,382.69, 105,408.11 and 42,848.69 is: 59,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,382.69 : 105,408.11 = 42,848.69 : x
  2. Step 2: Convert to fraction form
    76,382.69/105,408.11 = 42,848.69/x
  3. Step 3: Cross multiply
    76,382.69x = 105,408.11 × 42,848.69
  4. Step 4: Simplify right side
    76,382.69x = 4,516,599,165.36
  5. Step 5: Solve for x
    x = 4,516,599,165.36/76,382.69
  6. Step 6: Final answer
    x = 59,131.19

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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.