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Finding the Fourth Proportional to 208,775.76, 288,109.80 and 113,280.72

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Solution

The fourth proportional to 208,775.76, 288,109.80 and 113,280.72 is: 156,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,775.76 : 288,109.80 = 113,280.72 : x
  2. Step 2: Convert to fraction form
    208,775.76/288,109.80 = 113,280.72/x
  3. Step 3: Cross multiply
    208,775.76x = 288,109.80 × 113,280.72
  4. Step 4: Simplify right side
    208,775.76x = 32,637,285,583.06
  5. Step 5: Solve for x
    x = 32,637,285,583.06/208,775.76
  6. Step 6: Final answer
    x = 156,326.99

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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.