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Finding the Fourth Proportional to 208,289.58, 287,439.21 and 112,795.98

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Solution

The fourth proportional to 208,289.58, 287,439.21 and 112,795.98 is: 155,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,289.58 : 287,439.21 = 112,795.98 : x
  2. Step 2: Convert to fraction form
    208,289.58/287,439.21 = 112,795.98/x
  3. Step 3: Cross multiply
    208,289.58x = 287,439.21 × 112,795.98
  4. Step 4: Simplify right side
    208,289.58x = 32,421,987,382.38
  5. Step 5: Solve for x
    x = 32,421,987,382.38/208,289.58
  6. Step 6: Final answer
    x = 155,658.23

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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.