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Finding the Fourth Proportional to 101,831.84, 140,534.51 and 56,509.92

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Solution

The fourth proportional to 101,831.84, 140,534.51 and 56,509.92 is: 77,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,831.84 : 140,534.51 = 56,509.92 : x
  2. Step 2: Convert to fraction form
    101,831.84/140,534.51 = 56,509.92/x
  3. Step 3: Cross multiply
    101,831.84x = 140,534.51 × 56,509.92
  4. Step 4: Simplify right side
    101,831.84x = 7,941,593,634.79
  5. Step 5: Solve for x
    x = 7,941,593,634.79/101,831.84
  6. Step 6: Final answer
    x = 77,987.34

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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.