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Finding the Fourth Proportional to 139,732.86, 208,955.40 and 103,777.17

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Solution

The fourth proportional to 139,732.86, 208,955.40 and 103,777.17 is: 155,187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,732.86 : 208,955.40 = 103,777.17 : x
  2. Step 2: Convert to fraction form
    139,732.86/208,955.40 = 103,777.17/x
  3. Step 3: Cross multiply
    139,732.86x = 208,955.40 × 103,777.17
  4. Step 4: Simplify right side
    139,732.86x = 21,684,800,068.22
  5. Step 5: Solve for x
    x = 21,684,800,068.22/139,732.86
  6. Step 6: Final answer
    x = 155,187.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.