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Finding the Fourth Proportional to 103,830, 155,764.46 and 48,426

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Solution

The fourth proportional to 103,830, 155,764.46 and 48,426 is: 72,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,830 : 155,764.46 = 48,426 : x
  2. Step 2: Convert to fraction form
    103,830/155,764.46 = 48,426/x
  3. Step 3: Cross multiply
    103,830x = 155,764.46 × 48,426
  4. Step 4: Simplify right side
    103,830x = 7,543,049,739.96
  5. Step 5: Solve for x
    x = 7,543,049,739.96/103,830
  6. Step 6: Final answer
    x = 72,648.08

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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.