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Finding the Fourth Proportional to 208,460.96, 287,675.40 and 112,970

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Solution

The fourth proportional to 208,460.96, 287,675.40 and 112,970 is: 155,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,460.96 : 287,675.40 = 112,970 : x
  2. Step 2: Convert to fraction form
    208,460.96/287,675.40 = 112,970/x
  3. Step 3: Cross multiply
    208,460.96x = 287,675.40 × 112,970
  4. Step 4: Simplify right side
    208,460.96x = 32,498,689,938.00
  5. Step 5: Solve for x
    x = 32,498,689,938.00/208,460.96
  6. Step 6: Final answer
    x = 155,898.21

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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.