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Finding the Fourth Proportional to 155,153, 214,111.14 and 84,497

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Solution

The fourth proportional to 155,153, 214,111.14 and 84,497 is: 116,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,153 : 214,111.14 = 84,497 : x
  2. Step 2: Convert to fraction form
    155,153/214,111.14 = 84,497/x
  3. Step 3: Cross multiply
    155,153x = 214,111.14 × 84,497
  4. Step 4: Simplify right side
    155,153x = 18,091,748,996.58
  5. Step 5: Solve for x
    x = 18,091,748,996.58/155,153
  6. Step 6: Final answer
    x = 116,605.86

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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.