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Finding the Fourth Proportional to 194,802.30, 292,142.70 and 76,509.90

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Solution

The fourth proportional to 194,802.30, 292,142.70 and 76,509.90 is: 114,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,802.30 : 292,142.70 = 76,509.90 : x
  2. Step 2: Convert to fraction form
    194,802.30/292,142.70 = 76,509.90/x
  3. Step 3: Cross multiply
    194,802.30x = 292,142.70 × 76,509.90
  4. Step 4: Simplify right side
    194,802.30x = 22,351,808,762.73
  5. Step 5: Solve for x
    x = 22,351,808,762.73/194,802.30
  6. Step 6: Final answer
    x = 114,740.99

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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.