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Finding the Fourth Proportional to 208,289.21, 287,438.67 and 112,795.61

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Solution

The fourth proportional to 208,289.21, 287,438.67 and 112,795.61 is: 155,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,289.21 : 287,438.67 = 112,795.61 : x
  2. Step 2: Convert to fraction form
    208,289.21/287,438.67 = 112,795.61/x
  3. Step 3: Cross multiply
    208,289.21x = 287,438.67 × 112,795.61
  4. Step 4: Simplify right side
    208,289.21x = 32,421,818,683.05
  5. Step 5: Solve for x
    x = 32,421,818,683.05/208,289.21
  6. Step 6: Final answer
    x = 155,657.70

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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.