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Finding the Fourth Proportional to 52,596,446.40, 78,857,344.80 and 20,235,844.80

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Solution

The fourth proportional to 52,596,446.40, 78,857,344.80 and 20,235,844.80 is: 30,339,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,596,446.40 : 78,857,344.80 = 20,235,844.80 : x
  2. Step 2: Convert to fraction form
    52,596,446.40/78,857,344.80 = 20,235,844.80/x
  3. Step 3: Cross multiply
    52,596,446.40x = 78,857,344.80 × 20,235,844.80
  4. Step 4: Simplify right side
    52,596,446.40x = 1,595,744,990,712,887
  5. Step 5: Solve for x
    x = 1,595,744,990,712,887/52,596,446.40
  6. Step 6: Final answer
    x = 30,339,406.94

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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.