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Finding the Fourth Proportional to 208,238.40, 287,348.58 and 123,339.06

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Solution

The fourth proportional to 208,238.40, 287,348.58 and 123,339.06 is: 170,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,238.40 : 287,348.58 = 123,339.06 : x
  2. Step 2: Convert to fraction form
    208,238.40/287,348.58 = 123,339.06/x
  3. Step 3: Cross multiply
    208,238.40x = 287,348.58 × 123,339.06
  4. Step 4: Simplify right side
    208,238.40x = 35,441,303,749.53
  5. Step 5: Solve for x
    x = 35,441,303,749.53/208,238.40
  6. Step 6: Final answer
    x = 170,195.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.