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Finding the Fourth Proportional to 139,008.20, 191,831.51 and 75,345.98

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Solution

The fourth proportional to 139,008.20, 191,831.51 and 75,345.98 is: 103,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,008.20 : 191,831.51 = 75,345.98 : x
  2. Step 2: Convert to fraction form
    139,008.20/191,831.51 = 75,345.98/x
  3. Step 3: Cross multiply
    139,008.20x = 191,831.51 × 75,345.98
  4. Step 4: Simplify right side
    139,008.20x = 14,453,732,345.04
  5. Step 5: Solve for x
    x = 14,453,732,345.04/139,008.20
  6. Step 6: Final answer
    x = 103,977.56

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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.