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Finding the Fourth Proportional to 98,705.84, 136,180.92 and 56,234.48

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Solution

The fourth proportional to 98,705.84, 136,180.92 and 56,234.48 is: 77,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,705.84 : 136,180.92 = 56,234.48 : x
  2. Step 2: Convert to fraction form
    98,705.84/136,180.92 = 56,234.48/x
  3. Step 3: Cross multiply
    98,705.84x = 136,180.92 × 56,234.48
  4. Step 4: Simplify right side
    98,705.84x = 7,658,063,222.12
  5. Step 5: Solve for x
    x = 7,658,063,222.12/98,705.84
  6. Step 6: Final answer
    x = 77,584.70

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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.