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Finding the Fourth Proportional to 55,105.50, 76,045.62 and 29,955

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Solution

The fourth proportional to 55,105.50, 76,045.62 and 29,955 is: 41,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,105.50 : 76,045.62 = 29,955 : x
  2. Step 2: Convert to fraction form
    55,105.50/76,045.62 = 29,955/x
  3. Step 3: Cross multiply
    55,105.50x = 76,045.62 × 29,955
  4. Step 4: Simplify right side
    55,105.50x = 2,277,946,547.10
  5. Step 5: Solve for x
    x = 2,277,946,547.10/55,105.50
  6. Step 6: Final answer
    x = 41,337.92

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