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Finding the Fourth Proportional to 101,980.08, 152,992.26 and 30,897

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Solution

The fourth proportional to 101,980.08, 152,992.26 and 30,897 is: 46,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.08 : 152,992.26 = 30,897 : x
  2. Step 2: Convert to fraction form
    101,980.08/152,992.26 = 30,897/x
  3. Step 3: Cross multiply
    101,980.08x = 152,992.26 × 30,897
  4. Step 4: Simplify right side
    101,980.08x = 4,727,001,857.22
  5. Step 5: Solve for x
    x = 4,727,001,857.22/101,980.08
  6. Step 6: Final answer
    x = 46,352.21

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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.