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Finding the Fourth Proportional to 74,431.76, 102,732.06 and 45,776.06

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Solution

The fourth proportional to 74,431.76, 102,732.06 and 45,776.06 is: 63,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,431.76 : 102,732.06 = 45,776.06 : x
  2. Step 2: Convert to fraction form
    74,431.76/102,732.06 = 45,776.06/x
  3. Step 3: Cross multiply
    74,431.76x = 102,732.06 × 45,776.06
  4. Step 4: Simplify right side
    74,431.76x = 4,702,669,199.31
  5. Step 5: Solve for x
    x = 4,702,669,199.31/74,431.76
  6. Step 6: Final answer
    x = 63,180.95

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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.