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Finding the Fourth Proportional to 219,172.72, 328,777.80 and 77,005.57

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Solution

The fourth proportional to 219,172.72, 328,777.80 and 77,005.57 is: 115,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,172.72 : 328,777.80 = 77,005.57 : x
  2. Step 2: Convert to fraction form
    219,172.72/328,777.80 = 77,005.57/x
  3. Step 3: Cross multiply
    219,172.72x = 328,777.80 × 77,005.57
  4. Step 4: Simplify right side
    219,172.72x = 25,317,721,892.35
  5. Step 5: Solve for x
    x = 25,317,721,892.35/219,172.72
  6. Step 6: Final answer
    x = 115,514.93

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1.5x scale

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.