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Finding the Fourth Proportional to 208,005.80, 312,008.70 and 167,916.20

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Solution

The fourth proportional to 208,005.80, 312,008.70 and 167,916.20 is: 251,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,005.80 : 312,008.70 = 167,916.20 : x
  2. Step 2: Convert to fraction form
    208,005.80/312,008.70 = 167,916.20/x
  3. Step 3: Cross multiply
    208,005.80x = 312,008.70 × 167,916.20
  4. Step 4: Simplify right side
    208,005.80x = 52,391,315,270.94
  5. Step 5: Solve for x
    x = 52,391,315,270.94/208,005.80
  6. Step 6: Final answer
    x = 251,874.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.