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Finding the Fourth Proportional to 143,271.30, 214,831.35 and 48,468.90

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Solution

The fourth proportional to 143,271.30, 214,831.35 and 48,468.90 is: 72,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,271.30 : 214,831.35 = 48,468.90 : x
  2. Step 2: Convert to fraction form
    143,271.30/214,831.35 = 48,468.90/x
  3. Step 3: Cross multiply
    143,271.30x = 214,831.35 × 48,468.90
  4. Step 4: Simplify right side
    143,271.30x = 10,412,639,220.02
  5. Step 5: Solve for x
    x = 10,412,639,220.02/143,271.30
  6. Step 6: Final answer
    x = 72,677.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.