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Finding the Fourth Proportional to 208,141.54, 312,225.75 and 73,189.06

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Solution

The fourth proportional to 208,141.54, 312,225.75 and 73,189.06 is: 109,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,141.54 : 312,225.75 = 73,189.06 : x
  2. Step 2: Convert to fraction form
    208,141.54/312,225.75 = 73,189.06/x
  3. Step 3: Cross multiply
    208,141.54x = 312,225.75 × 73,189.06
  4. Step 4: Simplify right side
    208,141.54x = 22,851,509,150.30
  5. Step 5: Solve for x
    x = 22,851,509,150.30/208,141.54
  6. Step 6: Final answer
    x = 109,788.32

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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.