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Finding the Fourth Proportional to 74,249, 102,463.64 and 40,715.72

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Solution

The fourth proportional to 74,249, 102,463.64 and 40,715.72 is: 56,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,249 : 102,463.64 = 40,715.72 : x
  2. Step 2: Convert to fraction form
    74,249/102,463.64 = 40,715.72/x
  3. Step 3: Cross multiply
    74,249x = 102,463.64 × 40,715.72
  4. Step 4: Simplify right side
    74,249x = 4,171,880,876.42
  5. Step 5: Solve for x
    x = 4,171,880,876.42/74,249
  6. Step 6: Final answer
    x = 56,187.70

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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.