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Finding the Fourth Proportional to 97,843.60, 135,091.56 and 72,355.60

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Solution

The fourth proportional to 97,843.60, 135,091.56 and 72,355.60 is: 99,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.60 : 135,091.56 = 72,355.60 : x
  2. Step 2: Convert to fraction form
    97,843.60/135,091.56 = 72,355.60/x
  3. Step 3: Cross multiply
    97,843.60x = 135,091.56 × 72,355.60
  4. Step 4: Simplify right side
    97,843.60x = 9,774,630,878.74
  5. Step 5: Solve for x
    x = 9,774,630,878.74/97,843.60
  6. Step 6: Final answer
    x = 99,900.56

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1.5x scale

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.