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Finding the Fourth Proportional to 66,162.64, 99,229 and 19,419.16

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Solution

The fourth proportional to 66,162.64, 99,229 and 19,419.16 is: 29,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,162.64 : 99,229 = 19,419.16 : x
  2. Step 2: Convert to fraction form
    66,162.64/99,229 = 19,419.16/x
  3. Step 3: Cross multiply
    66,162.64x = 99,229 × 19,419.16
  4. Step 4: Simplify right side
    66,162.64x = 1,926,943,827.64
  5. Step 5: Solve for x
    x = 1,926,943,827.64/66,162.64
  6. Step 6: Final answer
    x = 29,124.35

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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.