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Finding the Fourth Proportional to 119,045.73, 164,290.49 and 78,689.51

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Solution

The fourth proportional to 119,045.73, 164,290.49 and 78,689.51 is: 108,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,045.73 : 164,290.49 = 78,689.51 : x
  2. Step 2: Convert to fraction form
    119,045.73/164,290.49 = 78,689.51/x
  3. Step 3: Cross multiply
    119,045.73x = 164,290.49 × 78,689.51
  4. Step 4: Simplify right side
    119,045.73x = 12,927,938,294.66
  5. Step 5: Solve for x
    x = 12,927,938,294.66/119,045.73
  6. Step 6: Final answer
    x = 108,596.40

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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.