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Finding the Fourth Proportional to 145,162.04, 217,696.98 and 46,643

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Solution

The fourth proportional to 145,162.04, 217,696.98 and 46,643 is: 69,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162.04 : 217,696.98 = 46,643 : x
  2. Step 2: Convert to fraction form
    145,162.04/217,696.98 = 46,643/x
  3. Step 3: Cross multiply
    145,162.04x = 217,696.98 × 46,643
  4. Step 4: Simplify right side
    145,162.04x = 10,154,040,238.14
  5. Step 5: Solve for x
    x = 10,154,040,238.14/145,162.04
  6. Step 6: Final answer
    x = 69,949.69

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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.