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Finding the Fourth Proportional to 103,639.66, 155,457.74 and 46,681.88

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Solution

The fourth proportional to 103,639.66, 155,457.74 and 46,681.88 is: 70,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639.66 : 155,457.74 = 46,681.88 : x
  2. Step 2: Convert to fraction form
    103,639.66/155,457.74 = 46,681.88/x
  3. Step 3: Cross multiply
    103,639.66x = 155,457.74 × 46,681.88
  4. Step 4: Simplify right side
    103,639.66x = 7,257,059,563.75
  5. Step 5: Solve for x
    x = 7,257,059,563.75/103,639.66
  6. Step 6: Final answer
    x = 70,022.03

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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.