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Finding the Fourth Proportional to 74,392, 102,662.58 and 40,858

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Solution

The fourth proportional to 74,392, 102,662.58 and 40,858 is: 56,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,392 : 102,662.58 = 40,858 : x
  2. Step 2: Convert to fraction form
    74,392/102,662.58 = 40,858/x
  3. Step 3: Cross multiply
    74,392x = 102,662.58 × 40,858
  4. Step 4: Simplify right side
    74,392x = 4,194,587,693.64
  5. Step 5: Solve for x
    x = 4,194,587,693.64/74,392
  6. Step 6: Final answer
    x = 56,384.93

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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.