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Finding the Fourth Proportional to 130,705.84, 180,429.02 and 88,321.78

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Solution

The fourth proportional to 130,705.84, 180,429.02 and 88,321.78 is: 121,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,705.84 : 180,429.02 = 88,321.78 : x
  2. Step 2: Convert to fraction form
    130,705.84/180,429.02 = 88,321.78/x
  3. Step 3: Cross multiply
    130,705.84x = 180,429.02 × 88,321.78
  4. Step 4: Simplify right side
    130,705.84x = 15,935,812,210.06
  5. Step 5: Solve for x
    x = 15,935,812,210.06/130,705.84
  6. Step 6: Final answer
    x = 121,921.20

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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.