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Finding the Fourth Proportional to 101,831.66, 140,538.06 and 56,509.95

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Solution

The fourth proportional to 101,831.66, 140,538.06 and 56,509.95 is: 77,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,831.66 : 140,538.06 = 56,509.95 : x
  2. Step 2: Convert to fraction form
    101,831.66/140,538.06 = 56,509.95/x
  3. Step 3: Cross multiply
    101,831.66x = 140,538.06 × 56,509.95
  4. Step 4: Simplify right side
    101,831.66x = 7,941,799,429.65
  5. Step 5: Solve for x
    x = 7,941,799,429.65/101,831.66
  6. Step 6: Final answer
    x = 77,989.50

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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.