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Finding the Fourth Proportional to 208,886.80, 312,869.40 and 125,635.60

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Solution

The fourth proportional to 208,886.80, 312,869.40 and 125,635.60 is: 188,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,886.80 : 312,869.40 = 125,635.60 : x
  2. Step 2: Convert to fraction form
    208,886.80/312,869.40 = 125,635.60/x
  3. Step 3: Cross multiply
    208,886.80x = 312,869.40 × 125,635.60
  4. Step 4: Simplify right side
    208,886.80x = 39,307,534,790.64
  5. Step 5: Solve for x
    x = 39,307,534,790.64/208,886.80
  6. Step 6: Final answer
    x = 188,176.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.