Home / 102,097.22-153,145.84-31,982

Finding the Fourth Proportional to 102,097.22, 153,145.84 and 31,982

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Solution

The fourth proportional to 102,097.22, 153,145.84 and 31,982 is: 47,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.22 : 153,145.84 = 31,982 : x
  2. Step 2: Convert to fraction form
    102,097.22/153,145.84 = 31,982/x
  3. Step 3: Cross multiply
    102,097.22x = 153,145.84 × 31,982
  4. Step 4: Simplify right side
    102,097.22x = 4,897,910,254.88
  5. Step 5: Solve for x
    x = 4,897,910,254.88/102,097.22
  6. Step 6: Final answer
    x = 47,973.00

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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.