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Finding the Fourth Proportional to 208,410.72, 287,606.40 and 112,920

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Solution

The fourth proportional to 208,410.72, 287,606.40 and 112,920 is: 155,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,410.72 : 287,606.40 = 112,920 : x
  2. Step 2: Convert to fraction form
    208,410.72/287,606.40 = 112,920/x
  3. Step 3: Cross multiply
    208,410.72x = 287,606.40 × 112,920
  4. Step 4: Simplify right side
    208,410.72x = 32,476,514,688.00
  5. Step 5: Solve for x
    x = 32,476,514,688.00/208,410.72
  6. Step 6: Final answer
    x = 155,829.39

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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.