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Finding the Fourth Proportional to 208,439.33, 287,647.30 and 112,946.02

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Solution

The fourth proportional to 208,439.33, 287,647.30 and 112,946.02 is: 155,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,439.33 : 287,647.30 = 112,946.02 : x
  2. Step 2: Convert to fraction form
    208,439.33/287,647.30 = 112,946.02/x
  3. Step 3: Cross multiply
    208,439.33x = 287,647.30 × 112,946.02
  4. Step 4: Simplify right side
    208,439.33x = 32,488,617,929.82
  5. Step 5: Solve for x
    x = 32,488,617,929.82/208,439.33
  6. Step 6: Final answer
    x = 155,866.07

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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.