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Finding the Fourth Proportional to 78,572.79, 108,416.09 and 51,341.67

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Solution

The fourth proportional to 78,572.79, 108,416.09 and 51,341.67 is: 70,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572.79 : 108,416.09 = 51,341.67 : x
  2. Step 2: Convert to fraction form
    78,572.79/108,416.09 = 51,341.67/x
  3. Step 3: Cross multiply
    78,572.79x = 108,416.09 × 51,341.67
  4. Step 4: Simplify right side
    78,572.79x = 5,566,263,243.82
  5. Step 5: Solve for x
    x = 5,566,263,243.82/78,572.79
  6. Step 6: Final answer
    x = 70,842.12

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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.