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Finding the Fourth Proportional to 74,043.76, 102,182.94 and 40,509.76

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Solution

The fourth proportional to 74,043.76, 102,182.94 and 40,509.76 is: 55,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,043.76 : 102,182.94 = 40,509.76 : x
  2. Step 2: Convert to fraction form
    74,043.76/102,182.94 = 40,509.76/x
  3. Step 3: Cross multiply
    74,043.76x = 102,182.94 × 40,509.76
  4. Step 4: Simplify right side
    74,043.76x = 4,139,406,375.49
  5. Step 5: Solve for x
    x = 4,139,406,375.49/74,043.76
  6. Step 6: Final answer
    x = 55,904.86

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1.5x scale

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.