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Finding the Fourth Proportional to 228,782.16, 343,216.35 and 86,670

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Solution

The fourth proportional to 228,782.16, 343,216.35 and 86,670 is: 130,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,782.16 : 343,216.35 = 86,670 : x
  2. Step 2: Convert to fraction form
    228,782.16/343,216.35 = 86,670/x
  3. Step 3: Cross multiply
    228,782.16x = 343,216.35 × 86,670
  4. Step 4: Simplify right side
    228,782.16x = 29,746,561,054.50
  5. Step 5: Solve for x
    x = 29,746,561,054.50/228,782.16
  6. Step 6: Final answer
    x = 130,021.33

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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.