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Finding the Fourth Proportional to 98,077.97, 147,102.98 and 31,509.47

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Solution

The fourth proportional to 98,077.97, 147,102.98 and 31,509.47 is: 47,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,077.97 : 147,102.98 = 31,509.47 : x
  2. Step 2: Convert to fraction form
    98,077.97/147,102.98 = 31,509.47/x
  3. Step 3: Cross multiply
    98,077.97x = 147,102.98 × 31,509.47
  4. Step 4: Simplify right side
    98,077.97x = 4,635,137,145.43
  5. Step 5: Solve for x
    x = 4,635,137,145.43/98,077.97
  6. Step 6: Final answer
    x = 47,259.72

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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.