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Finding the Fourth Proportional to 248,291.25, 342,641.93 and 135,114

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Solution

The fourth proportional to 248,291.25, 342,641.93 and 135,114 is: 186,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,291.25 : 342,641.93 = 135,114 : x
  2. Step 2: Convert to fraction form
    248,291.25/342,641.93 = 135,114/x
  3. Step 3: Cross multiply
    248,291.25x = 342,641.93 × 135,114
  4. Step 4: Simplify right side
    248,291.25x = 46,295,721,054.45
  5. Step 5: Solve for x
    x = 46,295,721,054.45/248,291.25
  6. Step 6: Final answer
    x = 186,457.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.