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Finding the Fourth Proportional to 208,085.70, 312,128.55 and 113,607.30

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Solution

The fourth proportional to 208,085.70, 312,128.55 and 113,607.30 is: 170,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,085.70 : 312,128.55 = 113,607.30 : x
  2. Step 2: Convert to fraction form
    208,085.70/312,128.55 = 113,607.30/x
  3. Step 3: Cross multiply
    208,085.70x = 312,128.55 × 113,607.30
  4. Step 4: Simplify right side
    208,085.70x = 35,460,081,818.42
  5. Step 5: Solve for x
    x = 35,460,081,818.42/208,085.70
  6. Step 6: Final answer
    x = 170,410.95

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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.