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Finding the Fourth Proportional to 76,347.81, 105,360.24 and 42,356.97

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Solution

The fourth proportional to 76,347.81, 105,360.24 and 42,356.97 is: 58,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,347.81 : 105,360.24 = 42,356.97 : x
  2. Step 2: Convert to fraction form
    76,347.81/105,360.24 = 42,356.97/x
  3. Step 3: Cross multiply
    76,347.81x = 105,360.24 × 42,356.97
  4. Step 4: Simplify right side
    76,347.81x = 4,462,740,524.87
  5. Step 5: Solve for x
    x = 4,462,740,524.87/76,347.81
  6. Step 6: Final answer
    x = 58,452.76

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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.