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Finding the Fourth Proportional to 144,730.32, 216,812.88 and 99,743.64

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Solution

The fourth proportional to 144,730.32, 216,812.88 and 99,743.64 is: 149,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,730.32 : 216,812.88 = 99,743.64 : x
  2. Step 2: Convert to fraction form
    144,730.32/216,812.88 = 99,743.64/x
  3. Step 3: Cross multiply
    144,730.32x = 216,812.88 × 99,743.64
  4. Step 4: Simplify right side
    144,730.32x = 21,625,705,850.08
  5. Step 5: Solve for x
    x = 21,625,705,850.08/144,730.32
  6. Step 6: Final answer
    x = 149,420.70

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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.