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Finding the Fourth Proportional to 76,683.40, 105,820.50 and 43,142.92

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Solution

The fourth proportional to 76,683.40, 105,820.50 and 43,142.92 is: 59,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,683.40 : 105,820.50 = 43,142.92 : x
  2. Step 2: Convert to fraction form
    76,683.40/105,820.50 = 43,142.92/x
  3. Step 3: Cross multiply
    76,683.40x = 105,820.50 × 43,142.92
  4. Step 4: Simplify right side
    76,683.40x = 4,565,405,365.86
  5. Step 5: Solve for x
    x = 4,565,405,365.86/76,683.40
  6. Step 6: Final answer
    x = 59,535.77

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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.