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Finding the Fourth Proportional to 106,510.36, 147,605.64 and 105,007

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Solution

The fourth proportional to 106,510.36, 147,605.64 and 105,007 is: 145,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,510.36 : 147,605.64 = 105,007 : x
  2. Step 2: Convert to fraction form
    106,510.36/147,605.64 = 105,007/x
  3. Step 3: Cross multiply
    106,510.36x = 147,605.64 × 105,007
  4. Step 4: Simplify right side
    106,510.36x = 15,499,625,439.48
  5. Step 5: Solve for x
    x = 15,499,625,439.48/106,510.36
  6. Step 6: Final answer
    x = 145,522.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.