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Finding the Fourth Proportional to 194,521.60, 292,012.80 and 193,139.20

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Solution

The fourth proportional to 194,521.60, 292,012.80 and 193,139.20 is: 289,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,521.60 : 292,012.80 = 193,139.20 : x
  2. Step 2: Convert to fraction form
    194,521.60/292,012.80 = 193,139.20/x
  3. Step 3: Cross multiply
    194,521.60x = 292,012.80 × 193,139.20
  4. Step 4: Simplify right side
    194,521.60x = 56,399,118,581.76
  5. Step 5: Solve for x
    x = 56,399,118,581.76/194,521.60
  6. Step 6: Final answer
    x = 289,937.56

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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.