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Finding the Fourth Proportional to 64,985.81, 97,256.93 and 54,467.71

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Solution

The fourth proportional to 64,985.81, 97,256.93 and 54,467.71 is: 81,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,985.81 : 97,256.93 = 54,467.71 : x
  2. Step 2: Convert to fraction form
    64,985.81/97,256.93 = 54,467.71/x
  3. Step 3: Cross multiply
    64,985.81x = 97,256.93 × 54,467.71
  4. Step 4: Simplify right side
    64,985.81x = 5,297,361,743.25
  5. Step 5: Solve for x
    x = 5,297,361,743.25/64,985.81
  6. Step 6: Final answer
    x = 81,515.67

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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.