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Finding the Fourth Proportional to 64,205.59, 96,271.35 and 19,820.47

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Solution

The fourth proportional to 64,205.59, 96,271.35 and 19,820.47 is: 29,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,205.59 : 96,271.35 = 19,820.47 : x
  2. Step 2: Convert to fraction form
    64,205.59/96,271.35 = 19,820.47/x
  3. Step 3: Cross multiply
    64,205.59x = 96,271.35 × 19,820.47
  4. Step 4: Simplify right side
    64,205.59x = 1,908,143,404.53
  5. Step 5: Solve for x
    x = 1,908,143,404.53/64,205.59
  6. Step 6: Final answer
    x = 29,719.27

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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.