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Finding the Fourth Proportional to 74,368.34, 102,627.74 and 40,376.16

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Solution

The fourth proportional to 74,368.34, 102,627.74 and 40,376.16 is: 55,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,368.34 : 102,627.74 = 40,376.16 : x
  2. Step 2: Convert to fraction form
    74,368.34/102,627.74 = 40,376.16/x
  3. Step 3: Cross multiply
    74,368.34x = 102,627.74 × 40,376.16
  4. Step 4: Simplify right side
    74,368.34x = 4,143,714,050.68
  5. Step 5: Solve for x
    x = 4,143,714,050.68/74,368.34
  6. Step 6: Final answer
    x = 55,718.79

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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.