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Finding the Fourth Proportional to 76,291.37, 105,277.87 and 42,297.87

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Solution

The fourth proportional to 76,291.37, 105,277.87 and 42,297.87 is: 58,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,291.37 : 105,277.87 = 42,297.87 : x
  2. Step 2: Convert to fraction form
    76,291.37/105,277.87 = 42,297.87/x
  3. Step 3: Cross multiply
    76,291.37x = 105,277.87 × 42,297.87
  4. Step 4: Simplify right side
    76,291.37x = 4,453,030,106.80
  5. Step 5: Solve for x
    x = 4,453,030,106.80/76,291.37
  6. Step 6: Final answer
    x = 58,368.73

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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.