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Finding the Fourth Proportional to 51,985.80, 77,978.70 and 48,705.30

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Solution

The fourth proportional to 51,985.80, 77,978.70 and 48,705.30 is: 73,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,985.80 : 77,978.70 = 48,705.30 : x
  2. Step 2: Convert to fraction form
    51,985.80/77,978.70 = 48,705.30/x
  3. Step 3: Cross multiply
    51,985.80x = 77,978.70 × 48,705.30
  4. Step 4: Simplify right side
    51,985.80x = 3,797,975,977.11
  5. Step 5: Solve for x
    x = 3,797,975,977.11/51,985.80
  6. Step 6: Final answer
    x = 73,057.95

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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.