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Finding the Fourth Proportional to 208,683.95, 287,981.73 and 113,188.59

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Solution

The fourth proportional to 208,683.95, 287,981.73 and 113,188.59 is: 156,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,683.95 : 287,981.73 = 113,188.59 : x
  2. Step 2: Convert to fraction form
    208,683.95/287,981.73 = 113,188.59/x
  3. Step 3: Cross multiply
    208,683.95x = 287,981.73 × 113,188.59
  4. Step 4: Simplify right side
    208,683.95x = 32,596,245,964.46
  5. Step 5: Solve for x
    x = 32,596,245,964.46/208,683.95
  6. Step 6: Final answer
    x = 156,199.11

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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.