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Finding the Fourth Proportional to 105,714.50, 158,260.70 and 70,566.98

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Solution

The fourth proportional to 105,714.50, 158,260.70 and 70,566.98 is: 105,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,714.50 : 158,260.70 = 70,566.98 : x
  2. Step 2: Convert to fraction form
    105,714.50/158,260.70 = 70,566.98/x
  3. Step 3: Cross multiply
    105,714.50x = 158,260.70 × 70,566.98
  4. Step 4: Simplify right side
    105,714.50x = 11,167,979,036.80
  5. Step 5: Solve for x
    x = 11,167,979,036.80/105,714.50
  6. Step 6: Final answer
    x = 105,642.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.