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Finding the Fourth Proportional to 117,792.64, 162,620.88 and 77,623.12

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Solution

The fourth proportional to 117,792.64, 162,620.88 and 77,623.12 is: 107,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,792.64 : 162,620.88 = 77,623.12 : x
  2. Step 2: Convert to fraction form
    117,792.64/162,620.88 = 77,623.12/x
  3. Step 3: Cross multiply
    117,792.64x = 162,620.88 × 77,623.12
  4. Step 4: Simplify right side
    117,792.64x = 12,623,140,082.75
  5. Step 5: Solve for x
    x = 12,623,140,082.75/117,792.64
  6. Step 6: Final answer
    x = 107,164.08

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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.