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Finding the Fourth Proportional to 308,136, 462,242.88 and 105,771.54

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Solution

The fourth proportional to 308,136, 462,242.88 and 105,771.54 is: 158,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,136 : 462,242.88 = 105,771.54 : x
  2. Step 2: Convert to fraction form
    308,136/462,242.88 = 105,771.54/x
  3. Step 3: Cross multiply
    308,136x = 462,242.88 × 105,771.54
  4. Step 4: Simplify right side
    308,136x = 48,892,141,271.64
  5. Step 5: Solve for x
    x = 48,892,141,271.64/308,136
  6. Step 6: Final answer
    x = 158,670.66

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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.