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Finding the Fourth Proportional to 86,838.60, 130,257.90 and 31,427.40

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Solution

The fourth proportional to 86,838.60, 130,257.90 and 31,427.40 is: 47,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,838.60 : 130,257.90 = 31,427.40 : x
  2. Step 2: Convert to fraction form
    86,838.60/130,257.90 = 31,427.40/x
  3. Step 3: Cross multiply
    86,838.60x = 130,257.90 × 31,427.40
  4. Step 4: Simplify right side
    86,838.60x = 4,093,667,126.46
  5. Step 5: Solve for x
    x = 4,093,667,126.46/86,838.60
  6. Step 6: Final answer
    x = 47,141.10

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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.