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Finding the Fourth Proportional to 169,665.40, 254,498.10 and 143,421.40

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Solution

The fourth proportional to 169,665.40, 254,498.10 and 143,421.40 is: 215,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,665.40 : 254,498.10 = 143,421.40 : x
  2. Step 2: Convert to fraction form
    169,665.40/254,498.10 = 143,421.40/x
  3. Step 3: Cross multiply
    169,665.40x = 254,498.10 × 143,421.40
  4. Step 4: Simplify right side
    169,665.40x = 36,500,473,799.34
  5. Step 5: Solve for x
    x = 36,500,473,799.34/169,665.40
  6. Step 6: Final answer
    x = 215,132.10

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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.