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Finding the Fourth Proportional to 139,941.50, 193,116.40 and 76,278.74

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Solution

The fourth proportional to 139,941.50, 193,116.40 and 76,278.74 is: 105,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,941.50 : 193,116.40 = 76,278.74 : x
  2. Step 2: Convert to fraction form
    139,941.50/193,116.40 = 76,278.74/x
  3. Step 3: Cross multiply
    139,941.50x = 193,116.40 × 76,278.74
  4. Step 4: Simplify right side
    139,941.50x = 14,730,675,665.34
  5. Step 5: Solve for x
    x = 14,730,675,665.34/139,941.50
  6. Step 6: Final answer
    x = 105,263.10

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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.