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Finding the Fourth Proportional to 158,800.56, 219,247.32 and 98,435.40

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Solution

The fourth proportional to 158,800.56, 219,247.32 and 98,435.40 is: 135,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,800.56 : 219,247.32 = 98,435.40 : x
  2. Step 2: Convert to fraction form
    158,800.56/219,247.32 = 98,435.40/x
  3. Step 3: Cross multiply
    158,800.56x = 219,247.32 × 98,435.40
  4. Step 4: Simplify right side
    158,800.56x = 21,581,697,643.13
  5. Step 5: Solve for x
    x = 21,581,697,643.13/158,800.56
  6. Step 6: Final answer
    x = 135,904.42

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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.