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Finding the Fourth Proportional to 85,263.50, 117,662.70 and 48,970.88

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Solution

The fourth proportional to 85,263.50, 117,662.70 and 48,970.88 is: 67,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,263.50 : 117,662.70 = 48,970.88 : x
  2. Step 2: Convert to fraction form
    85,263.50/117,662.70 = 48,970.88/x
  3. Step 3: Cross multiply
    85,263.50x = 117,662.70 × 48,970.88
  4. Step 4: Simplify right side
    85,263.50x = 5,762,045,962.18
  5. Step 5: Solve for x
    x = 5,762,045,962.18/85,263.50
  6. Step 6: Final answer
    x = 67,579.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.