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Finding the Fourth Proportional to 119,209, 164,435.46 and 70,778.07

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Solution

The fourth proportional to 119,209, 164,435.46 and 70,778.07 is: 97,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,209 : 164,435.46 = 70,778.07 : x
  2. Step 2: Convert to fraction form
    119,209/164,435.46 = 70,778.07/x
  3. Step 3: Cross multiply
    119,209x = 164,435.46 × 70,778.07
  4. Step 4: Simplify right side
    119,209x = 11,638,424,498.36
  5. Step 5: Solve for x
    x = 11,638,424,498.36/119,209
  6. Step 6: Final answer
    x = 97,630.42

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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.