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Finding the Fourth Proportional to 133,830, 184,685.40 and 74,214

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Solution

The fourth proportional to 133,830, 184,685.40 and 74,214 is: 102,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,830 : 184,685.40 = 74,214 : x
  2. Step 2: Convert to fraction form
    133,830/184,685.40 = 74,214/x
  3. Step 3: Cross multiply
    133,830x = 184,685.40 × 74,214
  4. Step 4: Simplify right side
    133,830x = 13,706,242,275.60
  5. Step 5: Solve for x
    x = 13,706,242,275.60/133,830
  6. Step 6: Final answer
    x = 102,415.32

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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.