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Finding the Fourth Proportional to 213,001.65, 319,316.58 and 79,846.16

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Solution

The fourth proportional to 213,001.65, 319,316.58 and 79,846.16 is: 119,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,001.65 : 319,316.58 = 79,846.16 : x
  2. Step 2: Convert to fraction form
    213,001.65/319,316.58 = 79,846.16/x
  3. Step 3: Cross multiply
    213,001.65x = 319,316.58 × 79,846.16
  4. Step 4: Simplify right side
    213,001.65x = 25,496,201,140.75
  5. Step 5: Solve for x
    x = 25,496,201,140.75/213,001.65
  6. Step 6: Final answer
    x = 119,699.55

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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.