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Finding the Fourth Proportional to 208,225.32, 287,233.68 and 131,720.88

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Solution

The fourth proportional to 208,225.32, 287,233.68 and 131,720.88 is: 181,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,225.32 : 287,233.68 = 131,720.88 : x
  2. Step 2: Convert to fraction form
    208,225.32/287,233.68 = 131,720.88/x
  3. Step 3: Cross multiply
    208,225.32x = 287,233.68 × 131,720.88
  4. Step 4: Simplify right side
    208,225.32x = 37,834,673,095.24
  5. Step 5: Solve for x
    x = 37,834,673,095.24/208,225.32
  6. Step 6: Final answer
    x = 181,700.64

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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.