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Finding the Fourth Proportional to 209,384.61, 313,957.58 and 142,905.21

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Solution

The fourth proportional to 209,384.61, 313,957.58 and 142,905.21 is: 214,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,384.61 : 313,957.58 = 142,905.21 : x
  2. Step 2: Convert to fraction form
    209,384.61/313,957.58 = 142,905.21/x
  3. Step 3: Cross multiply
    209,384.61x = 313,957.58 × 142,905.21
  4. Step 4: Simplify right side
    209,384.61x = 44,866,173,186.47
  5. Step 5: Solve for x
    x = 44,866,173,186.47/209,384.61
  6. Step 6: Final answer
    x = 214,276.37

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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.