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Finding the Fourth Proportional to 119,031.74, 178,597.69 and 74,090.68

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Solution

The fourth proportional to 119,031.74, 178,597.69 and 74,090.68 is: 111,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,031.74 : 178,597.69 = 74,090.68 : x
  2. Step 2: Convert to fraction form
    119,031.74/178,597.69 = 74,090.68/x
  3. Step 3: Cross multiply
    119,031.74x = 178,597.69 × 74,090.68
  4. Step 4: Simplify right side
    119,031.74x = 13,232,425,088.18
  5. Step 5: Solve for x
    x = 13,232,425,088.18/119,031.74
  6. Step 6: Final answer
    x = 111,167.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.