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Finding the Fourth Proportional to 152,230.12, 210,072.40 and 84,250

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Solution

The fourth proportional to 152,230.12, 210,072.40 and 84,250 is: 116,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,230.12 : 210,072.40 = 84,250 : x
  2. Step 2: Convert to fraction form
    152,230.12/210,072.40 = 84,250/x
  3. Step 3: Cross multiply
    152,230.12x = 210,072.40 × 84,250
  4. Step 4: Simplify right side
    152,230.12x = 17,698,599,700
  5. Step 5: Solve for x
    x = 17,698,599,700/152,230.12
  6. Step 6: Final answer
    x = 116,262.14

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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.