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Finding the Fourth Proportional to 139,994.95, 193,193.22 and 76,332.74

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Solution

The fourth proportional to 139,994.95, 193,193.22 and 76,332.74 is: 105,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,994.95 : 193,193.22 = 76,332.74 : x
  2. Step 2: Convert to fraction form
    139,994.95/193,193.22 = 76,332.74/x
  3. Step 3: Cross multiply
    139,994.95x = 193,193.22 × 76,332.74
  4. Step 4: Simplify right side
    139,994.95x = 14,746,968,315.01
  5. Step 5: Solve for x
    x = 14,746,968,315.01/139,994.95
  6. Step 6: Final answer
    x = 105,339.29

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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.