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Finding the Fourth Proportional to 77,980.81, 116,889.80 and 56,581.83

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Solution

The fourth proportional to 77,980.81, 116,889.80 and 56,581.83 is: 84,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980.81 : 116,889.80 = 56,581.83 : x
  2. Step 2: Convert to fraction form
    77,980.81/116,889.80 = 56,581.83/x
  3. Step 3: Cross multiply
    77,980.81x = 116,889.80 × 56,581.83
  4. Step 4: Simplify right side
    77,980.81x = 6,613,838,792.33
  5. Step 5: Solve for x
    x = 6,613,838,792.33/77,980.81
  6. Step 6: Final answer
    x = 84,813.67

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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.