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Finding the Fourth Proportional to 19,768,996.80, 29,603,728.80 and 13,000,766.40

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Solution

The fourth proportional to 19,768,996.80, 29,603,728.80 and 13,000,766.40 is: 19,468,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768,996.80 : 29,603,728.80 = 13,000,766.40 : x
  2. Step 2: Convert to fraction form
    19,768,996.80/29,603,728.80 = 13,000,766.40/x
  3. Step 3: Cross multiply
    19,768,996.80x = 29,603,728.80 × 13,000,766.40
  4. Step 4: Simplify right side
    19,768,996.80x = 384,871,162,697,752.31
  5. Step 5: Solve for x
    x = 384,871,162,697,752.31/19,768,996.80
  6. Step 6: Final answer
    x = 19,468,421.52

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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.