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Finding the Fourth Proportional to 13,713,913.19, 20,574,296.13 and 9,678,278.54

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Solution

The fourth proportional to 13,713,913.19, 20,574,296.13 and 9,678,278.54 is: 14,519,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713,913.19 : 20,574,296.13 = 9,678,278.54 : x
  2. Step 2: Convert to fraction form
    13,713,913.19/20,574,296.13 = 9,678,278.54/x
  3. Step 3: Cross multiply
    13,713,913.19x = 20,574,296.13 × 9,678,278.54
  4. Step 4: Simplify right side
    13,713,913.19x = 199,123,768,710,584.03
  5. Step 5: Solve for x
    x = 199,123,768,710,584.03/13,713,913.19
  6. Step 6: Final answer
    x = 14,519,835.87

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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.