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Finding the Fourth Proportional to 243,724, 336,385.20 and 137,740

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Solution

The fourth proportional to 243,724, 336,385.20 and 137,740 is: 190,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,724 : 336,385.20 = 137,740 : x
  2. Step 2: Convert to fraction form
    243,724/336,385.20 = 137,740/x
  3. Step 3: Cross multiply
    243,724x = 336,385.20 × 137,740
  4. Step 4: Simplify right side
    243,724x = 46,333,697,448
  5. Step 5: Solve for x
    x = 46,333,697,448/243,724
  6. Step 6: Final answer
    x = 190,107.24

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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.