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Finding the Fourth Proportional to 122,135, 183,483.17 and 86,684.34

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Solution

The fourth proportional to 122,135, 183,483.17 and 86,684.34 is: 130,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,135 : 183,483.17 = 86,684.34 : x
  2. Step 2: Convert to fraction form
    122,135/183,483.17 = 86,684.34/x
  3. Step 3: Cross multiply
    122,135x = 183,483.17 × 86,684.34
  4. Step 4: Simplify right side
    122,135x = 15,905,117,492.56
  5. Step 5: Solve for x
    x = 15,905,117,492.56/122,135
  6. Step 6: Final answer
    x = 130,225.71

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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.