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Finding the Fourth Proportional to 72,667.64, 100,285.47 and 48,426.50

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Solution

The fourth proportional to 72,667.64, 100,285.47 and 48,426.50 is: 66,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,667.64 : 100,285.47 = 48,426.50 : x
  2. Step 2: Convert to fraction form
    72,667.64/100,285.47 = 48,426.50/x
  3. Step 3: Cross multiply
    72,667.64x = 100,285.47 × 48,426.50
  4. Step 4: Simplify right side
    72,667.64x = 4,856,473,811.53
  5. Step 5: Solve for x
    x = 4,856,473,811.53/72,667.64
  6. Step 6: Final answer
    x = 66,831.32

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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.