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Finding the Fourth Proportional to 105,138, 145,207.08 and 69,485.04

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Solution

The fourth proportional to 105,138, 145,207.08 and 69,485.04 is: 95,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138 : 145,207.08 = 69,485.04 : x
  2. Step 2: Convert to fraction form
    105,138/145,207.08 = 69,485.04/x
  3. Step 3: Cross multiply
    105,138x = 145,207.08 × 69,485.04
  4. Step 4: Simplify right side
    105,138x = 10,089,719,762.08
  5. Step 5: Solve for x
    x = 10,089,719,762.08/105,138
  6. Step 6: Final answer
    x = 95,966.44

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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.