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Finding the Fourth Proportional to 152,908.65, 211,006.77 and 84,930.03

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Solution

The fourth proportional to 152,908.65, 211,006.77 and 84,930.03 is: 117,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,908.65 : 211,006.77 = 84,930.03 : x
  2. Step 2: Convert to fraction form
    152,908.65/211,006.77 = 84,930.03/x
  3. Step 3: Cross multiply
    152,908.65x = 211,006.77 × 84,930.03
  4. Step 4: Simplify right side
    152,908.65x = 17,920,811,306.30
  5. Step 5: Solve for x
    x = 17,920,811,306.30/152,908.65
  6. Step 6: Final answer
    x = 117,199.46

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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.