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Finding the Fourth Proportional to 98,605.98, 147,815.34 and 31,999.53

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Solution

The fourth proportional to 98,605.98, 147,815.34 and 31,999.53 is: 47,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,605.98 : 147,815.34 = 31,999.53 : x
  2. Step 2: Convert to fraction form
    98,605.98/147,815.34 = 31,999.53/x
  3. Step 3: Cross multiply
    98,605.98x = 147,815.34 × 31,999.53
  4. Step 4: Simplify right side
    98,605.98x = 4,730,021,650.37
  5. Step 5: Solve for x
    x = 4,730,021,650.37/98,605.98
  6. Step 6: Final answer
    x = 47,968.91

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1.5x scale

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.