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Finding the Fourth Proportional to 67,602.88, 101,417.84 and 20,854

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Solution

The fourth proportional to 67,602.88, 101,417.84 and 20,854 is: 31,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,602.88 : 101,417.84 = 20,854 : x
  2. Step 2: Convert to fraction form
    67,602.88/101,417.84 = 20,854/x
  3. Step 3: Cross multiply
    67,602.88x = 101,417.84 × 20,854
  4. Step 4: Simplify right side
    67,602.88x = 2,114,967,635.36
  5. Step 5: Solve for x
    x = 2,114,967,635.36/67,602.88
  6. Step 6: Final answer
    x = 31,285.17

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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.