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Finding the Fourth Proportional to 209,174.65, 288,649.93 and 118,531.69

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Solution

The fourth proportional to 209,174.65, 288,649.93 and 118,531.69 is: 163,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,174.65 : 288,649.93 = 118,531.69 : x
  2. Step 2: Convert to fraction form
    209,174.65/288,649.93 = 118,531.69/x
  3. Step 3: Cross multiply
    209,174.65x = 288,649.93 × 118,531.69
  4. Step 4: Simplify right side
    209,174.65x = 34,214,164,021.28
  5. Step 5: Solve for x
    x = 34,214,164,021.28/209,174.65
  6. Step 6: Final answer
    x = 163,567.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.