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Finding the Fourth Proportional to 98,697.76, 136,079.47 and 82,368.47

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Solution

The fourth proportional to 98,697.76, 136,079.47 and 82,368.47 is: 113,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,697.76 : 136,079.47 = 82,368.47 : x
  2. Step 2: Convert to fraction form
    98,697.76/136,079.47 = 82,368.47/x
  3. Step 3: Cross multiply
    98,697.76x = 136,079.47 × 82,368.47
  4. Step 4: Simplify right side
    98,697.76x = 11,208,658,185.47
  5. Step 5: Solve for x
    x = 11,208,658,185.47/98,697.76
  6. Step 6: Final answer
    x = 113,565.48

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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.