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Finding the Fourth Proportional to 117,139.76, 175,708.08 and 28,394.06

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Solution

The fourth proportional to 117,139.76, 175,708.08 and 28,394.06 is: 42,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,139.76 : 175,708.08 = 28,394.06 : x
  2. Step 2: Convert to fraction form
    117,139.76/175,708.08 = 28,394.06/x
  3. Step 3: Cross multiply
    117,139.76x = 175,708.08 × 28,394.06
  4. Step 4: Simplify right side
    117,139.76x = 4,989,065,766.00
  5. Step 5: Solve for x
    x = 4,989,065,766.00/117,139.76
  6. Step 6: Final answer
    x = 42,590.71

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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.