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Finding the Fourth Proportional to 218,866.51, 328,447.49 and 85,730.26

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Solution

The fourth proportional to 218,866.51, 328,447.49 and 85,730.26 is: 128,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,866.51 : 328,447.49 = 85,730.26 : x
  2. Step 2: Convert to fraction form
    218,866.51/328,447.49 = 85,730.26/x
  3. Step 3: Cross multiply
    218,866.51x = 328,447.49 × 85,730.26
  4. Step 4: Simplify right side
    218,866.51x = 28,157,888,000.27
  5. Step 5: Solve for x
    x = 28,157,888,000.27/218,866.51
  6. Step 6: Final answer
    x = 128,653.25

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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.