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Finding the Fourth Proportional to 152,226.76, 210,069.61 and 83,315.89

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Solution

The fourth proportional to 152,226.76, 210,069.61 and 83,315.89 is: 114,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,226.76 : 210,069.61 = 83,315.89 : x
  2. Step 2: Convert to fraction form
    152,226.76/210,069.61 = 83,315.89/x
  3. Step 3: Cross multiply
    152,226.76x = 210,069.61 × 83,315.89
  4. Step 4: Simplify right side
    152,226.76x = 17,502,135,785.64
  5. Step 5: Solve for x
    x = 17,502,135,785.64/152,226.76
  6. Step 6: Final answer
    x = 114,974.11

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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.