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Finding the Fourth Proportional to 149,515.84, 224,273.76 and 70,638

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Solution

The fourth proportional to 149,515.84, 224,273.76 and 70,638 is: 105,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,515.84 : 224,273.76 = 70,638 : x
  2. Step 2: Convert to fraction form
    149,515.84/224,273.76 = 70,638/x
  3. Step 3: Cross multiply
    149,515.84x = 224,273.76 × 70,638
  4. Step 4: Simplify right side
    149,515.84x = 15,842,249,858.88
  5. Step 5: Solve for x
    x = 15,842,249,858.88/149,515.84
  6. Step 6: Final answer
    x = 105,957.00

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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.