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Finding the Fourth Proportional to 208,807.69, 288,154.60 and 113,314.38

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Solution

The fourth proportional to 208,807.69, 288,154.60 and 113,314.38 is: 156,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,807.69 : 288,154.60 = 113,314.38 : x
  2. Step 2: Convert to fraction form
    208,807.69/288,154.60 = 113,314.38/x
  3. Step 3: Cross multiply
    208,807.69x = 288,154.60 × 113,314.38
  4. Step 4: Simplify right side
    208,807.69x = 32,652,060,280.25
  5. Step 5: Solve for x
    x = 32,652,060,280.25/208,807.69
  6. Step 6: Final answer
    x = 156,373.84

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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.