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Finding the Fourth Proportional to 208,563.50, 288,055.23 and 141,378.86

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Solution

The fourth proportional to 208,563.50, 288,055.23 and 141,378.86 is: 195,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563.50 : 288,055.23 = 141,378.86 : x
  2. Step 2: Convert to fraction form
    208,563.50/288,055.23 = 141,378.86/x
  3. Step 3: Cross multiply
    208,563.50x = 288,055.23 × 141,378.86
  4. Step 4: Simplify right side
    208,563.50x = 40,724,920,034.44
  5. Step 5: Solve for x
    x = 40,724,920,034.44/208,563.50
  6. Step 6: Final answer
    x = 195,263.89

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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.