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Finding the Fourth Proportional to 64,158.40, 96,244.80 and 19,784.80

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Solution

The fourth proportional to 64,158.40, 96,244.80 and 19,784.80 is: 29,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,158.40 : 96,244.80 = 19,784.80 : x
  2. Step 2: Convert to fraction form
    64,158.40/96,244.80 = 19,784.80/x
  3. Step 3: Cross multiply
    64,158.40x = 96,244.80 × 19,784.80
  4. Step 4: Simplify right side
    64,158.40x = 1,904,184,119.04
  5. Step 5: Solve for x
    x = 1,904,184,119.04/64,158.40
  6. Step 6: Final answer
    x = 29,679.42

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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.