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Finding the Fourth Proportional to 230,297.60, 345,446.40 and 89,957.81

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Solution

The fourth proportional to 230,297.60, 345,446.40 and 89,957.81 is: 134,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,297.60 : 345,446.40 = 89,957.81 : x
  2. Step 2: Convert to fraction form
    230,297.60/345,446.40 = 89,957.81/x
  3. Step 3: Cross multiply
    230,297.60x = 345,446.40 × 89,957.81
  4. Step 4: Simplify right side
    230,297.60x = 31,075,602,817.34
  5. Step 5: Solve for x
    x = 31,075,602,817.34/230,297.60
  6. Step 6: Final answer
    x = 134,936.72

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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.