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Finding the Fourth Proportional to 133,222.72, 183,848.16 and 72,792.64

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Solution

The fourth proportional to 133,222.72, 183,848.16 and 72,792.64 is: 100,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,222.72 : 183,848.16 = 72,792.64 : x
  2. Step 2: Convert to fraction form
    133,222.72/183,848.16 = 72,792.64/x
  3. Step 3: Cross multiply
    133,222.72x = 183,848.16 × 72,792.64
  4. Step 4: Simplify right side
    133,222.72x = 13,382,792,925.54
  5. Step 5: Solve for x
    x = 13,382,792,925.54/133,222.72
  6. Step 6: Final answer
    x = 100,454.28

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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.