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Finding the Fourth Proportional to 35,461.74, 53,137.16 and 20,478.06

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Solution

The fourth proportional to 35,461.74, 53,137.16 and 20,478.06 is: 30,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,461.74 : 53,137.16 = 20,478.06 : x
  2. Step 2: Convert to fraction form
    35,461.74/53,137.16 = 20,478.06/x
  3. Step 3: Cross multiply
    35,461.74x = 53,137.16 × 20,478.06
  4. Step 4: Simplify right side
    35,461.74x = 1,088,145,950.71
  5. Step 5: Solve for x
    x = 1,088,145,950.71/35,461.74
  6. Step 6: Final answer
    x = 30,685.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.