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Finding the Fourth Proportional to 208,509.60, 287,637.24 and 131,899.68

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Solution

The fourth proportional to 208,509.60, 287,637.24 and 131,899.68 is: 181,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.60 : 287,637.24 = 131,899.68 : x
  2. Step 2: Convert to fraction form
    208,509.60/287,637.24 = 131,899.68/x
  3. Step 3: Cross multiply
    208,509.60x = 287,637.24 × 131,899.68
  4. Step 4: Simplify right side
    208,509.60x = 37,939,259,912.08
  5. Step 5: Solve for x
    x = 37,939,259,912.08/208,509.60
  6. Step 6: Final answer
    x = 181,954.50

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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.