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Finding the Fourth Proportional to 135,526.60, 203,484.30 and 105,977.80

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Solution

The fourth proportional to 135,526.60, 203,484.30 and 105,977.80 is: 159,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,526.60 : 203,484.30 = 105,977.80 : x
  2. Step 2: Convert to fraction form
    135,526.60/203,484.30 = 105,977.80/x
  3. Step 3: Cross multiply
    135,526.60x = 203,484.30 × 105,977.80
  4. Step 4: Simplify right side
    135,526.60x = 21,564,818,448.54
  5. Step 5: Solve for x
    x = 21,564,818,448.54/135,526.60
  6. Step 6: Final answer
    x = 159,118.72

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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.