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Finding the Fourth Proportional to 208,065.10, 312,097.65 and 103,089.10

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Solution

The fourth proportional to 208,065.10, 312,097.65 and 103,089.10 is: 154,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,065.10 : 312,097.65 = 103,089.10 : x
  2. Step 2: Convert to fraction form
    208,065.10/312,097.65 = 103,089.10/x
  3. Step 3: Cross multiply
    208,065.10x = 312,097.65 × 103,089.10
  4. Step 4: Simplify right side
    208,065.10x = 32,173,865,850.62
  5. Step 5: Solve for x
    x = 32,173,865,850.62/208,065.10
  6. Step 6: Final answer
    x = 154,633.65

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1.5x scale

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.