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Finding the Fourth Proportional to 208,055.70, 312,083.55 and 166,583.70

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Solution

The fourth proportional to 208,055.70, 312,083.55 and 166,583.70 is: 249,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,055.70 : 312,083.55 = 166,583.70 : x
  2. Step 2: Convert to fraction form
    208,055.70/312,083.55 = 166,583.70/x
  3. Step 3: Cross multiply
    208,055.70x = 312,083.55 × 166,583.70
  4. Step 4: Simplify right side
    208,055.70x = 51,988,032,468.14
  5. Step 5: Solve for x
    x = 51,988,032,468.14/208,055.70
  6. Step 6: Final answer
    x = 249,875.55

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1.5x scale

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.