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Finding the Fourth Proportional to 76,287.36, 105,276.54 and 42,295.74

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Solution

The fourth proportional to 76,287.36, 105,276.54 and 42,295.74 is: 58,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,287.36 : 105,276.54 = 42,295.74 : x
  2. Step 2: Convert to fraction form
    76,287.36/105,276.54 = 42,295.74/x
  3. Step 3: Cross multiply
    76,287.36x = 105,276.54 × 42,295.74
  4. Step 4: Simplify right side
    76,287.36x = 4,452,749,163.94
  5. Step 5: Solve for x
    x = 4,452,749,163.94/76,287.36
  6. Step 6: Final answer
    x = 58,368.11

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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.