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Finding the Fourth Proportional to 122,730, 184,097.24 and 38,488.28

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Solution

The fourth proportional to 122,730, 184,097.24 and 38,488.28 is: 57,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,730 : 184,097.24 = 38,488.28 : x
  2. Step 2: Convert to fraction form
    122,730/184,097.24 = 38,488.28/x
  3. Step 3: Cross multiply
    122,730x = 184,097.24 × 38,488.28
  4. Step 4: Simplify right side
    122,730x = 7,085,586,120.35
  5. Step 5: Solve for x
    x = 7,085,586,120.35/122,730
  6. Step 6: Final answer
    x = 57,733.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.