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Finding the Fourth Proportional to 120,130.65, 165,792.42 and 66,419.76

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Solution

The fourth proportional to 120,130.65, 165,792.42 and 66,419.76 is: 91,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,130.65 : 165,792.42 = 66,419.76 : x
  2. Step 2: Convert to fraction form
    120,130.65/165,792.42 = 66,419.76/x
  3. Step 3: Cross multiply
    120,130.65x = 165,792.42 × 66,419.76
  4. Step 4: Simplify right side
    120,130.65x = 11,011,892,746.22
  5. Step 5: Solve for x
    x = 11,011,892,746.22/120,130.65
  6. Step 6: Final answer
    x = 91,665.97

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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.