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Finding the Fourth Proportional to 52,972.72, 79,459.80 and 13,530.16

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Solution

The fourth proportional to 52,972.72, 79,459.80 and 13,530.16 is: 20,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,972.72 : 79,459.80 = 13,530.16 : x
  2. Step 2: Convert to fraction form
    52,972.72/79,459.80 = 13,530.16/x
  3. Step 3: Cross multiply
    52,972.72x = 79,459.80 × 13,530.16
  4. Step 4: Simplify right side
    52,972.72x = 1,075,103,807.57
  5. Step 5: Solve for x
    x = 1,075,103,807.57/52,972.72
  6. Step 6: Final answer
    x = 20,295.42

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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.