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Finding the Fourth Proportional to 66,197.48, 99,303.52 and 19,454

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Solution

The fourth proportional to 66,197.48, 99,303.52 and 19,454 is: 29,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,197.48 : 99,303.52 = 19,454 : x
  2. Step 2: Convert to fraction form
    66,197.48/99,303.52 = 19,454/x
  3. Step 3: Cross multiply
    66,197.48x = 99,303.52 × 19,454
  4. Step 4: Simplify right side
    66,197.48x = 1,931,850,678.08
  5. Step 5: Solve for x
    x = 1,931,850,678.08/66,197.48
  6. Step 6: Final answer
    x = 29,183.15

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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.