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Finding the Fourth Proportional to 64,643.76, 89,233.80 and 40,765.68

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Solution

The fourth proportional to 64,643.76, 89,233.80 and 40,765.68 is: 56,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643.76 : 89,233.80 = 40,765.68 : x
  2. Step 2: Convert to fraction form
    64,643.76/89,233.80 = 40,765.68/x
  3. Step 3: Cross multiply
    64,643.76x = 89,233.80 × 40,765.68
  4. Step 4: Simplify right side
    64,643.76x = 3,637,676,535.98
  5. Step 5: Solve for x
    x = 3,637,676,535.98/64,643.76
  6. Step 6: Final answer
    x = 56,272.66

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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.