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Finding the Fourth Proportional to 86,723.60, 130,085.40 and 51,148.40

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Solution

The fourth proportional to 86,723.60, 130,085.40 and 51,148.40 is: 76,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,723.60 : 130,085.40 = 51,148.40 : x
  2. Step 2: Convert to fraction form
    86,723.60/130,085.40 = 51,148.40/x
  3. Step 3: Cross multiply
    86,723.60x = 130,085.40 × 51,148.40
  4. Step 4: Simplify right side
    86,723.60x = 6,653,660,073.36
  5. Step 5: Solve for x
    x = 6,653,660,073.36/86,723.60
  6. Step 6: Final answer
    x = 76,722.60

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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.