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Finding the Fourth Proportional to 208,944, 288,342.72 and 119,520

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Solution

The fourth proportional to 208,944, 288,342.72 and 119,520 is: 164,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,944 : 288,342.72 = 119,520 : x
  2. Step 2: Convert to fraction form
    208,944/288,342.72 = 119,520/x
  3. Step 3: Cross multiply
    208,944x = 288,342.72 × 119,520
  4. Step 4: Simplify right side
    208,944x = 34,462,721,894.40
  5. Step 5: Solve for x
    x = 34,462,721,894.40/208,944
  6. Step 6: Final answer
    x = 164,937.60

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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.