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Finding the Fourth Proportional to 208,990.95, 288,495.75 and 141,099.84

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Solution

The fourth proportional to 208,990.95, 288,495.75 and 141,099.84 is: 194,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,990.95 : 288,495.75 = 141,099.84 : x
  2. Step 2: Convert to fraction form
    208,990.95/288,495.75 = 141,099.84/x
  3. Step 3: Cross multiply
    208,990.95x = 288,495.75 × 141,099.84
  4. Step 4: Simplify right side
    208,990.95x = 40,706,704,165.68
  5. Step 5: Solve for x
    x = 40,706,704,165.68/208,990.95
  6. Step 6: Final answer
    x = 194,777.35

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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.