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Finding the Fourth Proportional to 47,985.76, 71,978.64 and 14,705.70

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Solution

The fourth proportional to 47,985.76, 71,978.64 and 14,705.70 is: 22,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985.76 : 71,978.64 = 14,705.70 : x
  2. Step 2: Convert to fraction form
    47,985.76/71,978.64 = 14,705.70/x
  3. Step 3: Cross multiply
    47,985.76x = 71,978.64 × 14,705.70
  4. Step 4: Simplify right side
    47,985.76x = 1,058,496,286.25
  5. Step 5: Solve for x
    x = 1,058,496,286.25/47,985.76
  6. Step 6: Final answer
    x = 22,058.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.