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Finding the Fourth Proportional to 42,909.84, 64,312.92 and 18,234

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Solution

The fourth proportional to 42,909.84, 64,312.92 and 18,234 is: 27,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909.84 : 64,312.92 = 18,234 : x
  2. Step 2: Convert to fraction form
    42,909.84/64,312.92 = 18,234/x
  3. Step 3: Cross multiply
    42,909.84x = 64,312.92 × 18,234
  4. Step 4: Simplify right side
    42,909.84x = 1,172,681,783.28
  5. Step 5: Solve for x
    x = 1,172,681,783.28/42,909.84
  6. Step 6: Final answer
    x = 27,328.97

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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.