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Finding the Fourth Proportional to 52,738.96, 79,114.96 and 19,459.20

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Solution

The fourth proportional to 52,738.96, 79,114.96 and 19,459.20 is: 29,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,738.96 : 79,114.96 = 19,459.20 : x
  2. Step 2: Convert to fraction form
    52,738.96/79,114.96 = 19,459.20/x
  3. Step 3: Cross multiply
    52,738.96x = 79,114.96 × 19,459.20
  4. Step 4: Simplify right side
    52,738.96x = 1,539,513,829.63
  5. Step 5: Solve for x
    x = 1,539,513,829.63/52,738.96
  6. Step 6: Final answer
    x = 29,191.21

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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.