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Finding the Fourth Proportional to 98,518.38, 147,798.32 and 31,953.32

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Solution

The fourth proportional to 98,518.38, 147,798.32 and 31,953.32 is: 47,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,518.38 : 147,798.32 = 31,953.32 : x
  2. Step 2: Convert to fraction form
    98,518.38/147,798.32 = 31,953.32/x
  3. Step 3: Cross multiply
    98,518.38x = 147,798.32 × 31,953.32
  4. Step 4: Simplify right side
    98,518.38x = 4,722,646,115.66
  5. Step 5: Solve for x
    x = 4,722,646,115.66/98,518.38
  6. Step 6: Final answer
    x = 47,936.70

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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.