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Finding the Fourth Proportional to 100,457.76, 150,686.63 and 78,287.72

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Solution

The fourth proportional to 100,457.76, 150,686.63 and 78,287.72 is: 117,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,457.76 : 150,686.63 = 78,287.72 : x
  2. Step 2: Convert to fraction form
    100,457.76/150,686.63 = 78,287.72/x
  3. Step 3: Cross multiply
    100,457.76x = 150,686.63 × 78,287.72
  4. Step 4: Simplify right side
    100,457.76x = 11,796,913,269.62
  5. Step 5: Solve for x
    x = 11,796,913,269.62/100,457.76
  6. Step 6: Final answer
    x = 117,431.58

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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.