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Finding the Fourth Proportional to 74,270.42, 102,492.74 and 40,278.57

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Solution

The fourth proportional to 74,270.42, 102,492.74 and 40,278.57 is: 55,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,270.42 : 102,492.74 = 40,278.57 : x
  2. Step 2: Convert to fraction form
    74,270.42/102,492.74 = 40,278.57/x
  3. Step 3: Cross multiply
    74,270.42x = 102,492.74 × 40,278.57
  4. Step 4: Simplify right side
    74,270.42x = 4,128,260,718.93
  5. Step 5: Solve for x
    x = 4,128,260,718.93/74,270.42
  6. Step 6: Final answer
    x = 55,584.19

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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.