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Finding the Fourth Proportional to 103,056.80, 154,607.36 and 31,978

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Solution

The fourth proportional to 103,056.80, 154,607.36 and 31,978 is: 47,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,056.80 : 154,607.36 = 31,978 : x
  2. Step 2: Convert to fraction form
    103,056.80/154,607.36 = 31,978/x
  3. Step 3: Cross multiply
    103,056.80x = 154,607.36 × 31,978
  4. Step 4: Simplify right side
    103,056.80x = 4,944,034,158.08
  5. Step 5: Solve for x
    x = 4,944,034,158.08/103,056.80
  6. Step 6: Final answer
    x = 47,973.88

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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.