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Finding the Fourth Proportional to 122,505.40, 183,721.58 and 47,637.16

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Solution

The fourth proportional to 122,505.40, 183,721.58 and 47,637.16 is: 71,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,505.40 : 183,721.58 = 47,637.16 : x
  2. Step 2: Convert to fraction form
    122,505.40/183,721.58 = 47,637.16/x
  3. Step 3: Cross multiply
    122,505.40x = 183,721.58 × 47,637.16
  4. Step 4: Simplify right side
    122,505.40x = 8,751,974,301.91
  5. Step 5: Solve for x
    x = 8,751,974,301.91/122,505.40
  6. Step 6: Final answer
    x = 71,441.54

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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.