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Finding the Fourth Proportional to 120,064.64, 165,699.18 and 66,360.16

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Solution

The fourth proportional to 120,064.64, 165,699.18 and 66,360.16 is: 91,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,064.64 : 165,699.18 = 66,360.16 : x
  2. Step 2: Convert to fraction form
    120,064.64/165,699.18 = 66,360.16/x
  3. Step 3: Cross multiply
    120,064.64x = 165,699.18 × 66,360.16
  4. Step 4: Simplify right side
    120,064.64x = 10,995,824,096.67
  5. Step 5: Solve for x
    x = 10,995,824,096.67/120,064.64
  6. Step 6: Final answer
    x = 91,582.54

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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.