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Finding the Fourth Proportional to 64,804.32, 97,206.47 and 20,434.53

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Solution

The fourth proportional to 64,804.32, 97,206.47 and 20,434.53 is: 30,651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,804.32 : 97,206.47 = 20,434.53 : x
  2. Step 2: Convert to fraction form
    64,804.32/97,206.47 = 20,434.53/x
  3. Step 3: Cross multiply
    64,804.32x = 97,206.47 × 20,434.53
  4. Step 4: Simplify right side
    64,804.32x = 1,986,368,527.41
  5. Step 5: Solve for x
    x = 1,986,368,527.41/64,804.32
  6. Step 6: Final answer
    x = 30,651.79

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Why These Related Problems?

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