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Finding the Fourth Proportional to 164,909.20, 247,072.20 and 139,831.60

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Solution

The fourth proportional to 164,909.20, 247,072.20 and 139,831.60 is: 209,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,909.20 : 247,072.20 = 139,831.60 : x
  2. Step 2: Convert to fraction form
    164,909.20/247,072.20 = 139,831.60/x
  3. Step 3: Cross multiply
    164,909.20x = 247,072.20 × 139,831.60
  4. Step 4: Simplify right side
    164,909.20x = 34,548,501,041.52
  5. Step 5: Solve for x
    x = 34,548,501,041.52/164,909.20
  6. Step 6: Final answer
    x = 209,500.14

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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.