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Finding the Fourth Proportional to 118,970.10, 164,093.04 and 76,488.03

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Solution

The fourth proportional to 118,970.10, 164,093.04 and 76,488.03 is: 105,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,970.10 : 164,093.04 = 76,488.03 : x
  2. Step 2: Convert to fraction form
    118,970.10/164,093.04 = 76,488.03/x
  3. Step 3: Cross multiply
    118,970.10x = 164,093.04 × 76,488.03
  4. Step 4: Simplify right side
    118,970.10x = 12,551,153,366.31
  5. Step 5: Solve for x
    x = 12,551,153,366.31/118,970.10
  6. Step 6: Final answer
    x = 105,498.38

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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.