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Finding the Fourth Proportional to 120,316.53, 166,051.64 and 68,646.34

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Solution

The fourth proportional to 120,316.53, 166,051.64 and 68,646.34 is: 94,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,316.53 : 166,051.64 = 68,646.34 : x
  2. Step 2: Convert to fraction form
    120,316.53/166,051.64 = 68,646.34/x
  3. Step 3: Cross multiply
    120,316.53x = 166,051.64 × 68,646.34
  4. Step 4: Simplify right side
    120,316.53x = 11,398,837,337.00
  5. Step 5: Solve for x
    x = 11,398,837,337.00/120,316.53
  6. Step 6: Final answer
    x = 94,740.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.