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Finding the Fourth Proportional to 152,138.64, 209,880.63 and 98,441.01

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Solution

The fourth proportional to 152,138.64, 209,880.63 and 98,441.01 is: 135,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,138.64 : 209,880.63 = 98,441.01 : x
  2. Step 2: Convert to fraction form
    152,138.64/209,880.63 = 98,441.01/x
  3. Step 3: Cross multiply
    152,138.64x = 209,880.63 × 98,441.01
  4. Step 4: Simplify right side
    152,138.64x = 20,660,861,196.64
  5. Step 5: Solve for x
    x = 20,660,861,196.64/152,138.64
  6. Step 6: Final answer
    x = 135,802.85

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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.