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Finding the Fourth Proportional to 105,466.74, 158,148.99 and 38,938.20

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Solution

The fourth proportional to 105,466.74, 158,148.99 and 38,938.20 is: 58,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,466.74 : 158,148.99 = 38,938.20 : x
  2. Step 2: Convert to fraction form
    105,466.74/158,148.99 = 38,938.20/x
  3. Step 3: Cross multiply
    105,466.74x = 158,148.99 × 38,938.20
  4. Step 4: Simplify right side
    105,466.74x = 6,158,037,002.42
  5. Step 5: Solve for x
    x = 6,158,037,002.42/105,466.74
  6. Step 6: Final answer
    x = 58,388.43

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1.5x scale

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.