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Finding the Fourth Proportional to 64,534.75, 89,019.34 and 40,619.91

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Solution

The fourth proportional to 64,534.75, 89,019.34 and 40,619.91 is: 56,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,534.75 : 89,019.34 = 40,619.91 : x
  2. Step 2: Convert to fraction form
    64,534.75/89,019.34 = 40,619.91/x
  3. Step 3: Cross multiply
    64,534.75x = 89,019.34 × 40,619.91
  4. Step 4: Simplify right side
    64,534.75x = 3,615,957,579.06
  5. Step 5: Solve for x
    x = 3,615,957,579.06/64,534.75
  6. Step 6: Final answer
    x = 56,031.17

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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.