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Finding the Fourth Proportional to 213,312.65, 320,015.11 and 63,565

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Solution

The fourth proportional to 213,312.65, 320,015.11 and 63,565 is: 95,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,312.65 : 320,015.11 = 63,565 : x
  2. Step 2: Convert to fraction form
    213,312.65/320,015.11 = 63,565/x
  3. Step 3: Cross multiply
    213,312.65x = 320,015.11 × 63,565
  4. Step 4: Simplify right side
    213,312.65x = 20,341,760,467.15
  5. Step 5: Solve for x
    x = 20,341,760,467.15/213,312.65
  6. Step 6: Final answer
    x = 95,361.25

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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.