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Finding the Fourth Proportional to 215,697.45, 323,547 and 65,937.16

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Solution

The fourth proportional to 215,697.45, 323,547 and 65,937.16 is: 98,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,697.45 : 323,547 = 65,937.16 : x
  2. Step 2: Convert to fraction form
    215,697.45/323,547 = 65,937.16/x
  3. Step 3: Cross multiply
    215,697.45x = 323,547 × 65,937.16
  4. Step 4: Simplify right side
    215,697.45x = 21,333,770,306.52
  5. Step 5: Solve for x
    x = 21,333,770,306.52/215,697.45
  6. Step 6: Final answer
    x = 98,905.99

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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.