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Finding the Fourth Proportional to 208,980.09, 288,480.81 and 141,089.03

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Solution

The fourth proportional to 208,980.09, 288,480.81 and 141,089.03 is: 194,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,980.09 : 288,480.81 = 141,089.03 : x
  2. Step 2: Convert to fraction form
    208,980.09/288,480.81 = 141,089.03/x
  3. Step 3: Cross multiply
    208,980.09x = 288,480.81 × 141,089.03
  4. Step 4: Simplify right side
    208,980.09x = 40,701,475,508.67
  5. Step 5: Solve for x
    x = 40,701,475,508.67/208,980.09
  6. Step 6: Final answer
    x = 194,762.46

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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.