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Finding the Fourth Proportional to 208,752, 288,077.76 and 119,329.92

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Solution

The fourth proportional to 208,752, 288,077.76 and 119,329.92 is: 164,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,752 : 288,077.76 = 119,329.92 : x
  2. Step 2: Convert to fraction form
    208,752/288,077.76 = 119,329.92/x
  3. Step 3: Cross multiply
    208,752x = 288,077.76 × 119,329.92
  4. Step 4: Simplify right side
    208,752x = 34,376,296,054.58
  5. Step 5: Solve for x
    x = 34,376,296,054.58/208,752
  6. Step 6: Final answer
    x = 164,675.29

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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.