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Finding the Fourth Proportional to 74,496.94, 102,807.79 and 40,507.70

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Solution

The fourth proportional to 74,496.94, 102,807.79 and 40,507.70 is: 55,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,496.94 : 102,807.79 = 40,507.70 : x
  2. Step 2: Convert to fraction form
    74,496.94/102,807.79 = 40,507.70/x
  3. Step 3: Cross multiply
    74,496.94x = 102,807.79 × 40,507.70
  4. Step 4: Simplify right side
    74,496.94x = 4,164,506,499.67
  5. Step 5: Solve for x
    x = 4,164,506,499.67/74,496.94
  6. Step 6: Final answer
    x = 55,901.71

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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.