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Finding the Fourth Proportional to 130,617.49, 180,254.07 and 76,168.14

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Solution

The fourth proportional to 130,617.49, 180,254.07 and 76,168.14 is: 105,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,617.49 : 180,254.07 = 76,168.14 : x
  2. Step 2: Convert to fraction form
    130,617.49/180,254.07 = 76,168.14/x
  3. Step 3: Cross multiply
    130,617.49x = 180,254.07 × 76,168.14
  4. Step 4: Simplify right side
    130,617.49x = 13,729,616,856.12
  5. Step 5: Solve for x
    x = 13,729,616,856.12/130,617.49
  6. Step 6: Final answer
    x = 105,113.16

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