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Finding the Fourth Proportional to 119,090.42, 164,332.72 and 71,342.54

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Solution

The fourth proportional to 119,090.42, 164,332.72 and 71,342.54 is: 98,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,090.42 : 164,332.72 = 71,342.54 : x
  2. Step 2: Convert to fraction form
    119,090.42/164,332.72 = 71,342.54/x
  3. Step 3: Cross multiply
    119,090.42x = 164,332.72 × 71,342.54
  4. Step 4: Simplify right side
    119,090.42x = 11,723,913,649.91
  5. Step 5: Solve for x
    x = 11,723,913,649.91/119,090.42
  6. Step 6: Final answer
    x = 98,445.48

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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.