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Finding the Fourth Proportional to 42,657, 64,008.54 and 20,769

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Solution

The fourth proportional to 42,657, 64,008.54 and 20,769 is: 31,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,657 : 64,008.54 = 20,769 : x
  2. Step 2: Convert to fraction form
    42,657/64,008.54 = 20,769/x
  3. Step 3: Cross multiply
    42,657x = 64,008.54 × 20,769
  4. Step 4: Simplify right side
    42,657x = 1,329,393,367.26
  5. Step 5: Solve for x
    x = 1,329,393,367.26/42,657
  6. Step 6: Final answer
    x = 31,164.72

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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.