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Finding the Fourth Proportional to 171,396.80, 257,024.16 and 64,762.34

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Solution

The fourth proportional to 171,396.80, 257,024.16 and 64,762.34 is: 97,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,396.80 : 257,024.16 = 64,762.34 : x
  2. Step 2: Convert to fraction form
    171,396.80/257,024.16 = 64,762.34/x
  3. Step 3: Cross multiply
    171,396.80x = 257,024.16 × 64,762.34
  4. Step 4: Simplify right side
    171,396.80x = 16,645,486,038.13
  5. Step 5: Solve for x
    x = 16,645,486,038.13/171,396.80
  6. Step 6: Final answer
    x = 97,116.67

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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.