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Finding the Fourth Proportional to 148,699, 205,178.16 and 84,167.92

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Solution

The fourth proportional to 148,699, 205,178.16 and 84,167.92 is: 116,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,699 : 205,178.16 = 84,167.92 : x
  2. Step 2: Convert to fraction form
    148,699/205,178.16 = 84,167.92/x
  3. Step 3: Cross multiply
    148,699x = 205,178.16 × 84,167.92
  4. Step 4: Simplify right side
    148,699x = 17,269,418,956.63
  5. Step 5: Solve for x
    x = 17,269,418,956.63/148,699
  6. Step 6: Final answer
    x = 116,136.75

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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.