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Finding the Fourth Proportional to 76,831.82, 106,027.47 and 42,840.71

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Solution

The fourth proportional to 76,831.82, 106,027.47 and 42,840.71 is: 59,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,831.82 : 106,027.47 = 42,840.71 : x
  2. Step 2: Convert to fraction form
    76,831.82/106,027.47 = 42,840.71/x
  3. Step 3: Cross multiply
    76,831.82x = 106,027.47 × 42,840.71
  4. Step 4: Simplify right side
    76,831.82x = 4,542,292,050.63
  5. Step 5: Solve for x
    x = 4,542,292,050.63/76,831.82
  6. Step 6: Final answer
    x = 59,119.94

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1.5x scale

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.