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Finding the Fourth Proportional to 76,752.64, 105,920 and 43,219.20

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Solution

The fourth proportional to 76,752.64, 105,920 and 43,219.20 is: 59,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752.64 : 105,920 = 43,219.20 : x
  2. Step 2: Convert to fraction form
    76,752.64/105,920 = 43,219.20/x
  3. Step 3: Cross multiply
    76,752.64x = 105,920 × 43,219.20
  4. Step 4: Simplify right side
    76,752.64x = 4,577,777,664
  5. Step 5: Solve for x
    x = 4,577,777,664/76,752.64
  6. Step 6: Final answer
    x = 59,643.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.