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Finding the Fourth Proportional to 19,859,813.80, 29,789,720.70 and 9,782,117.80

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Solution

The fourth proportional to 19,859,813.80, 29,789,720.70 and 9,782,117.80 is: 14,673,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859,813.80 : 29,789,720.70 = 9,782,117.80 : x
  2. Step 2: Convert to fraction form
    19,859,813.80/29,789,720.70 = 9,782,117.80/x
  3. Step 3: Cross multiply
    19,859,813.80x = 29,789,720.70 × 9,782,117.80
  4. Step 4: Simplify right side
    19,859,813.80x = 291,406,557,116,498.50
  5. Step 5: Solve for x
    x = 291,406,557,116,498.50/19,859,813.80
  6. Step 6: Final answer
    x = 14,673,176.70

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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.