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Finding the Fourth Proportional to 30,590.93, 45,855.41 and 20,731.20

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Solution

The fourth proportional to 30,590.93, 45,855.41 and 20,731.20 is: 31,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.93 : 45,855.41 = 20,731.20 : x
  2. Step 2: Convert to fraction form
    30,590.93/45,855.41 = 20,731.20/x
  3. Step 3: Cross multiply
    30,590.93x = 45,855.41 × 20,731.20
  4. Step 4: Simplify right side
    30,590.93x = 950,637,572.14
  5. Step 5: Solve for x
    x = 950,637,572.14/30,590.93
  6. Step 6: Final answer
    x = 31,075.80

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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.