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Finding the Fourth Proportional to 76,493.80, 114,740.70 and 57,831.40

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Solution

The fourth proportional to 76,493.80, 114,740.70 and 57,831.40 is: 86,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493.80 : 114,740.70 = 57,831.40 : x
  2. Step 2: Convert to fraction form
    76,493.80/114,740.70 = 57,831.40/x
  3. Step 3: Cross multiply
    76,493.80x = 114,740.70 × 57,831.40
  4. Step 4: Simplify right side
    76,493.80x = 6,635,615,317.98
  5. Step 5: Solve for x
    x = 6,635,615,317.98/76,493.80
  6. Step 6: Final answer
    x = 86,747.10

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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.