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Finding the Fourth Proportional to 76,374.88, 105,395.36 and 42,383.24

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Solution

The fourth proportional to 76,374.88, 105,395.36 and 42,383.24 is: 58,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,374.88 : 105,395.36 = 42,383.24 : x
  2. Step 2: Convert to fraction form
    76,374.88/105,395.36 = 42,383.24/x
  3. Step 3: Cross multiply
    76,374.88x = 105,395.36 × 42,383.24
  4. Step 4: Simplify right side
    76,374.88x = 4,466,996,837.77
  5. Step 5: Solve for x
    x = 4,466,996,837.77/76,374.88
  6. Step 6: Final answer
    x = 58,487.78

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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.