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Finding the Fourth Proportional to 208,798.59, 288,138 and 118,152.90

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Solution

The fourth proportional to 208,798.59, 288,138 and 118,152.90 is: 163,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,798.59 : 288,138 = 118,152.90 : x
  2. Step 2: Convert to fraction form
    208,798.59/288,138 = 118,152.90/x
  3. Step 3: Cross multiply
    208,798.59x = 288,138 × 118,152.90
  4. Step 4: Simplify right side
    208,798.59x = 34,044,340,300.20
  5. Step 5: Solve for x
    x = 34,044,340,300.20/208,798.59
  6. Step 6: Final answer
    x = 163,048.71

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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.