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Finding the Fourth Proportional to 76,486.76, 105,548.72 and 42,497.36

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Solution

The fourth proportional to 76,486.76, 105,548.72 and 42,497.36 is: 58,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.76 : 105,548.72 = 42,497.36 : x
  2. Step 2: Convert to fraction form
    76,486.76/105,548.72 = 42,497.36/x
  3. Step 3: Cross multiply
    76,486.76x = 105,548.72 × 42,497.36
  4. Step 4: Simplify right side
    76,486.76x = 4,485,541,846.00
  5. Step 5: Solve for x
    x = 4,485,541,846.00/76,486.76
  6. Step 6: Final answer
    x = 58,644.69

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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.