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Finding the Fourth Proportional to 64,677.84, 89,267.68 and 40,490

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Solution

The fourth proportional to 64,677.84, 89,267.68 and 40,490 is: 55,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,677.84 : 89,267.68 = 40,490 : x
  2. Step 2: Convert to fraction form
    64,677.84/89,267.68 = 40,490/x
  3. Step 3: Cross multiply
    64,677.84x = 89,267.68 × 40,490
  4. Step 4: Simplify right side
    64,677.84x = 3,614,448,363.20
  5. Step 5: Solve for x
    x = 3,614,448,363.20/64,677.84
  6. Step 6: Final answer
    x = 55,883.88

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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.