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Finding the Fourth Proportional to 160,698, 221,739.96 and 89,078

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Solution

The fourth proportional to 160,698, 221,739.96 and 89,078 is: 122,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,698 : 221,739.96 = 89,078 : x
  2. Step 2: Convert to fraction form
    160,698/221,739.96 = 89,078/x
  3. Step 3: Cross multiply
    160,698x = 221,739.96 × 89,078
  4. Step 4: Simplify right side
    160,698x = 19,752,152,156.88
  5. Step 5: Solve for x
    x = 19,752,152,156.88/160,698
  6. Step 6: Final answer
    x = 122,914.74

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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.