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Finding the Fourth Proportional to 86,741.60, 130,112.40 and 49,416.80

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Solution

The fourth proportional to 86,741.60, 130,112.40 and 49,416.80 is: 74,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,741.60 : 130,112.40 = 49,416.80 : x
  2. Step 2: Convert to fraction form
    86,741.60/130,112.40 = 49,416.80/x
  3. Step 3: Cross multiply
    86,741.60x = 130,112.40 × 49,416.80
  4. Step 4: Simplify right side
    86,741.60x = 6,429,738,448.32
  5. Step 5: Solve for x
    x = 6,429,738,448.32/86,741.60
  6. Step 6: Final answer
    x = 74,125.20

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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.