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Finding the Fourth Proportional to 76,292, 105,289.44 and 42,764.48

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Solution

The fourth proportional to 76,292, 105,289.44 and 42,764.48 is: 59,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,292 : 105,289.44 = 42,764.48 : x
  2. Step 2: Convert to fraction form
    76,292/105,289.44 = 42,764.48/x
  3. Step 3: Cross multiply
    76,292x = 105,289.44 × 42,764.48
  4. Step 4: Simplify right side
    76,292x = 4,502,648,151.09
  5. Step 5: Solve for x
    x = 4,502,648,151.09/76,292
  6. Step 6: Final answer
    x = 59,018.61

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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.