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Finding the Fourth Proportional to 99,813.10, 149,719.65 and 89,971.60

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Solution

The fourth proportional to 99,813.10, 149,719.65 and 89,971.60 is: 134,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813.10 : 149,719.65 = 89,971.60 : x
  2. Step 2: Convert to fraction form
    99,813.10/149,719.65 = 89,971.60/x
  3. Step 3: Cross multiply
    99,813.10x = 149,719.65 × 89,971.60
  4. Step 4: Simplify right side
    99,813.10x = 13,470,516,461.94
  5. Step 5: Solve for x
    x = 13,470,516,461.94/99,813.10
  6. Step 6: Final answer
    x = 134,957.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.