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Finding the Fourth Proportional to 208,898.95, 288,284.06 and 113,405.66

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Solution

The fourth proportional to 208,898.95, 288,284.06 and 113,405.66 is: 156,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,898.95 : 288,284.06 = 113,405.66 : x
  2. Step 2: Convert to fraction form
    208,898.95/288,284.06 = 113,405.66/x
  3. Step 3: Cross multiply
    208,898.95x = 288,284.06 × 113,405.66
  4. Step 4: Simplify right side
    208,898.95x = 32,693,044,091.78
  5. Step 5: Solve for x
    x = 32,693,044,091.78/208,898.95
  6. Step 6: Final answer
    x = 156,501.72

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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.