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Finding the Fourth Proportional to 102,921.93, 154,136.43 and 65,364.48

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Solution

The fourth proportional to 102,921.93, 154,136.43 and 65,364.48 is: 97,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,921.93 : 154,136.43 = 65,364.48 : x
  2. Step 2: Convert to fraction form
    102,921.93/154,136.43 = 65,364.48/x
  3. Step 3: Cross multiply
    102,921.93x = 154,136.43 × 65,364.48
  4. Step 4: Simplify right side
    102,921.93x = 10,075,047,596.01
  5. Step 5: Solve for x
    x = 10,075,047,596.01/102,921.93
  6. Step 6: Final answer
    x = 97,890.19

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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.