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Finding the Fourth Proportional to 208,666.89, 312,895.08 and 148,661.10

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Solution

The fourth proportional to 208,666.89, 312,895.08 and 148,661.10 is: 222,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,666.89 : 312,895.08 = 148,661.10 : x
  2. Step 2: Convert to fraction form
    208,666.89/312,895.08 = 148,661.10/x
  3. Step 3: Cross multiply
    208,666.89x = 312,895.08 × 148,661.10
  4. Step 4: Simplify right side
    208,666.89x = 46,515,326,777.39
  5. Step 5: Solve for x
    x = 46,515,326,777.39/208,666.89
  6. Step 6: Final answer
    x = 222,916.66

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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.