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Finding the Fourth Proportional to 208,916.50, 288,308.16 and 118,270.12

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Solution

The fourth proportional to 208,916.50, 288,308.16 and 118,270.12 is: 163,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,916.50 : 288,308.16 = 118,270.12 : x
  2. Step 2: Convert to fraction form
    208,916.50/288,308.16 = 118,270.12/x
  3. Step 3: Cross multiply
    208,916.50x = 288,308.16 × 118,270.12
  4. Step 4: Simplify right side
    208,916.50x = 34,098,240,680.18
  5. Step 5: Solve for x
    x = 34,098,240,680.18/208,916.50
  6. Step 6: Final answer
    x = 163,214.68

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1.5x scale

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.