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Finding the Fourth Proportional to 64,357.40, 96,543.30 and 19,983.80

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Solution

The fourth proportional to 64,357.40, 96,543.30 and 19,983.80 is: 29,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,357.40 : 96,543.30 = 19,983.80 : x
  2. Step 2: Convert to fraction form
    64,357.40/96,543.30 = 19,983.80/x
  3. Step 3: Cross multiply
    64,357.40x = 96,543.30 × 19,983.80
  4. Step 4: Simplify right side
    64,357.40x = 1,929,301,998.54
  5. Step 5: Solve for x
    x = 1,929,301,998.54/64,357.40
  6. Step 6: Final answer
    x = 29,977.94

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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.