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Finding the Fourth Proportional to 134,316, 185,382.45 and 76,993.74

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Solution

The fourth proportional to 134,316, 185,382.45 and 76,993.74 is: 106,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,316 : 185,382.45 = 76,993.74 : x
  2. Step 2: Convert to fraction form
    134,316/185,382.45 = 76,993.74/x
  3. Step 3: Cross multiply
    134,316x = 185,382.45 × 76,993.74
  4. Step 4: Simplify right side
    134,316x = 14,273,288,155.86
  5. Step 5: Solve for x
    x = 14,273,288,155.86/134,316
  6. Step 6: Final answer
    x = 106,266.48

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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.