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Finding the Fourth Proportional to 136,831.48, 188,830.65 and 76,400.08

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Solution

The fourth proportional to 136,831.48, 188,830.65 and 76,400.08 is: 105,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,831.48 : 188,830.65 = 76,400.08 : x
  2. Step 2: Convert to fraction form
    136,831.48/188,830.65 = 76,400.08/x
  3. Step 3: Cross multiply
    136,831.48x = 188,830.65 × 76,400.08
  4. Step 4: Simplify right side
    136,831.48x = 14,426,676,766.45
  5. Step 5: Solve for x
    x = 14,426,676,766.45/136,831.48
  6. Step 6: Final answer
    x = 105,433.90

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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.