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Finding the Fourth Proportional to 35,642.88, 49,199.47 and 20,541.57

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Solution

The fourth proportional to 35,642.88, 49,199.47 and 20,541.57 is: 28,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.88 : 49,199.47 = 20,541.57 : x
  2. Step 2: Convert to fraction form
    35,642.88/49,199.47 = 20,541.57/x
  3. Step 3: Cross multiply
    35,642.88x = 49,199.47 × 20,541.57
  4. Step 4: Simplify right side
    35,642.88x = 1,010,634,428.61
  5. Step 5: Solve for x
    x = 1,010,634,428.61/35,642.88
  6. Step 6: Final answer
    x = 28,354.45

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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.