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Finding the Fourth Proportional to 123,387.60, 184,973.40 and 83,816.40

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Solution

The fourth proportional to 123,387.60, 184,973.40 and 83,816.40 is: 125,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,387.60 : 184,973.40 = 83,816.40 : x
  2. Step 2: Convert to fraction form
    123,387.60/184,973.40 = 83,816.40/x
  3. Step 3: Cross multiply
    123,387.60x = 184,973.40 × 83,816.40
  4. Step 4: Simplify right side
    123,387.60x = 15,503,804,483.76
  5. Step 5: Solve for x
    x = 15,503,804,483.76/123,387.60
  6. Step 6: Final answer
    x = 125,651.24

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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.