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Finding the Fourth Proportional to 139,742.80, 192,838.71 and 76,080.46

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Solution

The fourth proportional to 139,742.80, 192,838.71 and 76,080.46 is: 104,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,742.80 : 192,838.71 = 76,080.46 : x
  2. Step 2: Convert to fraction form
    139,742.80/192,838.71 = 76,080.46/x
  3. Step 3: Cross multiply
    139,742.80x = 192,838.71 × 76,080.46
  4. Step 4: Simplify right side
    139,742.80x = 14,671,257,762.61
  5. Step 5: Solve for x
    x = 14,671,257,762.61/139,742.80
  6. Step 6: Final answer
    x = 104,987.58

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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.