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Finding the Fourth Proportional to 139,822.22, 192,955.22 and 76,159.46

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Solution

The fourth proportional to 139,822.22, 192,955.22 and 76,159.46 is: 105,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,822.22 : 192,955.22 = 76,159.46 : x
  2. Step 2: Convert to fraction form
    139,822.22/192,955.22 = 76,159.46/x
  3. Step 3: Cross multiply
    139,822.22x = 192,955.22 × 76,159.46
  4. Step 4: Simplify right side
    139,822.22x = 14,695,364,013.81
  5. Step 5: Solve for x
    x = 14,695,364,013.81/139,822.22
  6. Step 6: Final answer
    x = 105,100.35

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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.