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Finding the Fourth Proportional to 228,457.84, 342,723.48 and 78,661.30

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Solution

The fourth proportional to 228,457.84, 342,723.48 and 78,661.30 is: 118,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,457.84 : 342,723.48 = 78,661.30 : x
  2. Step 2: Convert to fraction form
    228,457.84/342,723.48 = 78,661.30/x
  3. Step 3: Cross multiply
    228,457.84x = 342,723.48 × 78,661.30
  4. Step 4: Simplify right side
    228,457.84x = 26,959,074,477.32
  5. Step 5: Solve for x
    x = 26,959,074,477.32/228,457.84
  6. Step 6: Final answer
    x = 118,004.59

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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.