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Finding the Fourth Proportional to 51,457.76, 77,210.64 and 18,203

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Solution

The fourth proportional to 51,457.76, 77,210.64 and 18,203 is: 27,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,457.76 : 77,210.64 = 18,203 : x
  2. Step 2: Convert to fraction form
    51,457.76/77,210.64 = 18,203/x
  3. Step 3: Cross multiply
    51,457.76x = 77,210.64 × 18,203
  4. Step 4: Simplify right side
    51,457.76x = 1,405,465,279.92
  5. Step 5: Solve for x
    x = 1,405,465,279.92/51,457.76
  6. Step 6: Final answer
    x = 27,312.99

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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.