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Finding the Fourth Proportional to 152,892.30, 210,984.30 and 84,913.62

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Solution

The fourth proportional to 152,892.30, 210,984.30 and 84,913.62 is: 117,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,892.30 : 210,984.30 = 84,913.62 : x
  2. Step 2: Convert to fraction form
    152,892.30/210,984.30 = 84,913.62/x
  3. Step 3: Cross multiply
    152,892.30x = 210,984.30 × 84,913.62
  4. Step 4: Simplify right side
    152,892.30x = 17,915,440,676.17
  5. Step 5: Solve for x
    x = 17,915,440,676.17/152,892.30
  6. Step 6: Final answer
    x = 117,176.87

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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.