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Finding the Fourth Proportional to 208,837.08, 288,064.08 and 123,894

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Solution

The fourth proportional to 208,837.08, 288,064.08 and 123,894 is: 170,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,837.08 : 288,064.08 = 123,894 : x
  2. Step 2: Convert to fraction form
    208,837.08/288,064.08 = 123,894/x
  3. Step 3: Cross multiply
    208,837.08x = 288,064.08 × 123,894
  4. Step 4: Simplify right side
    208,837.08x = 35,689,411,127.52
  5. Step 5: Solve for x
    x = 35,689,411,127.52/208,837.08
  6. Step 6: Final answer
    x = 170,895.95

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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.