Home / 102,104.37-153,172.35-31,977

Finding the Fourth Proportional to 102,104.37, 153,172.35 and 31,977

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Solution

The fourth proportional to 102,104.37, 153,172.35 and 31,977 is: 47,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.37 : 153,172.35 = 31,977 : x
  2. Step 2: Convert to fraction form
    102,104.37/153,172.35 = 31,977/x
  3. Step 3: Cross multiply
    102,104.37x = 153,172.35 × 31,977
  4. Step 4: Simplify right side
    102,104.37x = 4,897,992,235.95
  5. Step 5: Solve for x
    x = 4,897,992,235.95/102,104.37
  6. Step 6: Final answer
    x = 47,970.45

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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.