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Finding the Fourth Proportional to 74,434, 102,718.92 and 40,902.16

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Solution

The fourth proportional to 74,434, 102,718.92 and 40,902.16 is: 56,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,434 : 102,718.92 = 40,902.16 : x
  2. Step 2: Convert to fraction form
    74,434/102,718.92 = 40,902.16/x
  3. Step 3: Cross multiply
    74,434x = 102,718.92 × 40,902.16
  4. Step 4: Simplify right side
    74,434x = 4,201,425,700.87
  5. Step 5: Solve for x
    x = 4,201,425,700.87/74,434
  6. Step 6: Final answer
    x = 56,444.98

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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.