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Finding the Fourth Proportional to 76,371.68, 105,405.36 and 42,848.48

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Solution

The fourth proportional to 76,371.68, 105,405.36 and 42,848.48 is: 59,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,371.68 : 105,405.36 = 42,848.48 : x
  2. Step 2: Convert to fraction form
    76,371.68/105,405.36 = 42,848.48/x
  3. Step 3: Cross multiply
    76,371.68x = 105,405.36 × 42,848.48
  4. Step 4: Simplify right side
    76,371.68x = 4,516,459,459.85
  5. Step 5: Solve for x
    x = 4,516,459,459.85/76,371.68
  6. Step 6: Final answer
    x = 59,137.88

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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.