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Finding the Fourth Proportional to 139,898.32, 209,899.32 and 65,058.64

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Solution

The fourth proportional to 139,898.32, 209,899.32 and 65,058.64 is: 97,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,898.32 : 209,899.32 = 65,058.64 : x
  2. Step 2: Convert to fraction form
    139,898.32/209,899.32 = 65,058.64/x
  3. Step 3: Cross multiply
    139,898.32x = 209,899.32 × 65,058.64
  4. Step 4: Simplify right side
    139,898.32x = 13,655,764,296.12
  5. Step 5: Solve for x
    x = 13,655,764,296.12/139,898.32
  6. Step 6: Final answer
    x = 97,612.07

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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.