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Finding the Fourth Proportional to 74,609.58, 102,971.06 and 42,772.32

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Solution

The fourth proportional to 74,609.58, 102,971.06 and 42,772.32 is: 59,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,609.58 : 102,971.06 = 42,772.32 : x
  2. Step 2: Convert to fraction form
    74,609.58/102,971.06 = 42,772.32/x
  3. Step 3: Cross multiply
    74,609.58x = 102,971.06 × 42,772.32
  4. Step 4: Simplify right side
    74,609.58x = 4,404,311,129.06
  5. Step 5: Solve for x
    x = 4,404,311,129.06/74,609.58
  6. Step 6: Final answer
    x = 59,031.44

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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.