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Finding the Fourth Proportional to 119,102.56, 164,369.51 and 78,746.94

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Solution

The fourth proportional to 119,102.56, 164,369.51 and 78,746.94 is: 108,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,102.56 : 164,369.51 = 78,746.94 : x
  2. Step 2: Convert to fraction form
    119,102.56/164,369.51 = 78,746.94/x
  3. Step 3: Cross multiply
    119,102.56x = 164,369.51 × 78,746.94
  4. Step 4: Simplify right side
    119,102.56x = 12,943,595,941.80
  5. Step 5: Solve for x
    x = 12,943,595,941.80/119,102.56
  6. Step 6: Final answer
    x = 108,676.05

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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.