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Finding the Fourth Proportional to 86,914.20, 130,274.10 and 49,492.20

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Solution

The fourth proportional to 86,914.20, 130,274.10 and 49,492.20 is: 74,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,914.20 : 130,274.10 = 49,492.20 : x
  2. Step 2: Convert to fraction form
    86,914.20/130,274.10 = 49,492.20/x
  3. Step 3: Cross multiply
    86,914.20x = 130,274.10 × 49,492.20
  4. Step 4: Simplify right side
    86,914.20x = 6,447,551,812.02
  5. Step 5: Solve for x
    x = 6,447,551,812.02/86,914.20
  6. Step 6: Final answer
    x = 74,182.95

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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.