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Finding the Fourth Proportional to 287,106, 430,662.84 and 90,114

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Solution

The fourth proportional to 287,106, 430,662.84 and 90,114 is: 135,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,106 : 430,662.84 = 90,114 : x
  2. Step 2: Convert to fraction form
    287,106/430,662.84 = 90,114/x
  3. Step 3: Cross multiply
    287,106x = 430,662.84 × 90,114
  4. Step 4: Simplify right side
    287,106x = 38,808,751,163.76
  5. Step 5: Solve for x
    x = 38,808,751,163.76/287,106
  6. Step 6: Final answer
    x = 135,172.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.