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Finding the Fourth Proportional to 74,215, 102,416.94 and 40,224.04

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Solution

The fourth proportional to 74,215, 102,416.94 and 40,224.04 is: 55,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,215 : 102,416.94 = 40,224.04 : x
  2. Step 2: Convert to fraction form
    74,215/102,416.94 = 40,224.04/x
  3. Step 3: Cross multiply
    74,215x = 102,416.94 × 40,224.04
  4. Step 4: Simplify right side
    74,215x = 4,119,623,091.24
  5. Step 5: Solve for x
    x = 4,119,623,091.24/74,215
  6. Step 6: Final answer
    x = 55,509.31

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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.