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Finding the Fourth Proportional to 205,047.60, 307,657.80 and 111,620.40

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Solution

The fourth proportional to 205,047.60, 307,657.80 and 111,620.40 is: 167,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,047.60 : 307,657.80 = 111,620.40 : x
  2. Step 2: Convert to fraction form
    205,047.60/307,657.80 = 111,620.40/x
  3. Step 3: Cross multiply
    205,047.60x = 307,657.80 × 111,620.40
  4. Step 4: Simplify right side
    205,047.60x = 34,340,886,699.12
  5. Step 5: Solve for x
    x = 34,340,886,699.12/205,047.60
  6. Step 6: Final answer
    x = 167,477.63

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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.