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Finding the Fourth Proportional to 149,915.81, 224,984.28 and 71,030.12

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Solution

The fourth proportional to 149,915.81, 224,984.28 and 71,030.12 is: 106,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,915.81 : 224,984.28 = 71,030.12 : x
  2. Step 2: Convert to fraction form
    149,915.81/224,984.28 = 71,030.12/x
  3. Step 3: Cross multiply
    149,915.81x = 224,984.28 × 71,030.12
  4. Step 4: Simplify right side
    149,915.81x = 15,980,659,547.96
  5. Step 5: Solve for x
    x = 15,980,659,547.96/149,915.81
  6. Step 6: Final answer
    x = 106,597.56

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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.