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Finding the Fourth Proportional to 208,139.40, 312,116.76 and 95,792.40

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Solution

The fourth proportional to 208,139.40, 312,116.76 and 95,792.40 is: 143,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,139.40 : 312,116.76 = 95,792.40 : x
  2. Step 2: Convert to fraction form
    208,139.40/312,116.76 = 95,792.40/x
  3. Step 3: Cross multiply
    208,139.40x = 312,116.76 × 95,792.40
  4. Step 4: Simplify right side
    208,139.40x = 29,898,413,520.62
  5. Step 5: Solve for x
    x = 29,898,413,520.62/208,139.40
  6. Step 6: Final answer
    x = 143,646.10

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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.