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Finding the Fourth Proportional to 127,703.64, 191,583.63 and 38,964

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Solution

The fourth proportional to 127,703.64, 191,583.63 and 38,964 is: 58,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,703.64 : 191,583.63 = 38,964 : x
  2. Step 2: Convert to fraction form
    127,703.64/191,583.63 = 38,964/x
  3. Step 3: Cross multiply
    127,703.64x = 191,583.63 × 38,964
  4. Step 4: Simplify right side
    127,703.64x = 7,464,864,559.32
  5. Step 5: Solve for x
    x = 7,464,864,559.32/127,703.64
  6. Step 6: Final answer
    x = 58,454.60

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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.