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Finding the Fourth Proportional to 153,607, 211,977.66 and 82,951

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Solution

The fourth proportional to 153,607, 211,977.66 and 82,951 is: 114,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,607 : 211,977.66 = 82,951 : x
  2. Step 2: Convert to fraction form
    153,607/211,977.66 = 82,951/x
  3. Step 3: Cross multiply
    153,607x = 211,977.66 × 82,951
  4. Step 4: Simplify right side
    153,607x = 17,583,758,874.66
  5. Step 5: Solve for x
    x = 17,583,758,874.66/153,607
  6. Step 6: Final answer
    x = 114,472.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.