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Finding the Fourth Proportional to 119,070.16, 164,291.16 and 68,740

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Solution

The fourth proportional to 119,070.16, 164,291.16 and 68,740 is: 94,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,070.16 : 164,291.16 = 68,740 : x
  2. Step 2: Convert to fraction form
    119,070.16/164,291.16 = 68,740/x
  3. Step 3: Cross multiply
    119,070.16x = 164,291.16 × 68,740
  4. Step 4: Simplify right side
    119,070.16x = 11,293,374,338.40
  5. Step 5: Solve for x
    x = 11,293,374,338.40/119,070.16
  6. Step 6: Final answer
    x = 94,846.39

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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.