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Finding the Fourth Proportional to 113,045.91, 155,971.41 and 72,782.97

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Solution

The fourth proportional to 113,045.91, 155,971.41 and 72,782.97 is: 100,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,045.91 : 155,971.41 = 72,782.97 : x
  2. Step 2: Convert to fraction form
    113,045.91/155,971.41 = 72,782.97/x
  3. Step 3: Cross multiply
    113,045.91x = 155,971.41 × 72,782.97
  4. Step 4: Simplify right side
    113,045.91x = 11,352,062,454.89
  5. Step 5: Solve for x
    x = 11,352,062,454.89/113,045.91
  6. Step 6: Final answer
    x = 100,419.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.