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Finding the Fourth Proportional to 152,655.86, 210,678.03 and 84,694.70

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Solution

The fourth proportional to 152,655.86, 210,678.03 and 84,694.70 is: 116,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,655.86 : 210,678.03 = 84,694.70 : x
  2. Step 2: Convert to fraction form
    152,655.86/210,678.03 = 84,694.70/x
  3. Step 3: Cross multiply
    152,655.86x = 210,678.03 × 84,694.70
  4. Step 4: Simplify right side
    152,655.86x = 17,843,313,074.14
  5. Step 5: Solve for x
    x = 17,843,313,074.14/152,655.86
  6. Step 6: Final answer
    x = 116,885.87

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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.