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Finding the Fourth Proportional to 208,416.10, 312,624.15 and 97,824.10

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Solution

The fourth proportional to 208,416.10, 312,624.15 and 97,824.10 is: 146,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,416.10 : 312,624.15 = 97,824.10 : x
  2. Step 2: Convert to fraction form
    208,416.10/312,624.15 = 97,824.10/x
  3. Step 3: Cross multiply
    208,416.10x = 312,624.15 × 97,824.10
  4. Step 4: Simplify right side
    208,416.10x = 30,582,176,112.02
  5. Step 5: Solve for x
    x = 30,582,176,112.02/208,416.10
  6. Step 6: Final answer
    x = 146,736.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.