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Finding the Fourth Proportional to 208,978.85, 288,394.16 and 118,332.36

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Solution

The fourth proportional to 208,978.85, 288,394.16 and 118,332.36 is: 163,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978.85 : 288,394.16 = 118,332.36 : x
  2. Step 2: Convert to fraction form
    208,978.85/288,394.16 = 118,332.36/x
  3. Step 3: Cross multiply
    208,978.85x = 288,394.16 × 118,332.36
  4. Step 4: Simplify right side
    208,978.85x = 34,126,360,971.36
  5. Step 5: Solve for x
    x = 34,126,360,971.36/208,978.85
  6. Step 6: Final answer
    x = 163,300.55

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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.