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Finding the Fourth Proportional to 74,585.64, 102,942 and 42,754.80

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Solution

The fourth proportional to 74,585.64, 102,942 and 42,754.80 is: 59,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,585.64 : 102,942 = 42,754.80 : x
  2. Step 2: Convert to fraction form
    74,585.64/102,942 = 42,754.80/x
  3. Step 3: Cross multiply
    74,585.64x = 102,942 × 42,754.80
  4. Step 4: Simplify right side
    74,585.64x = 4,401,264,621.60
  5. Step 5: Solve for x
    x = 4,401,264,621.60/74,585.64
  6. Step 6: Final answer
    x = 59,009.54

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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.