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Finding the Fourth Proportional to 130,806.86, 180,491.74 and 77,084.57

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Solution

The fourth proportional to 130,806.86, 180,491.74 and 77,084.57 is: 106,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,806.86 : 180,491.74 = 77,084.57 : x
  2. Step 2: Convert to fraction form
    130,806.86/180,491.74 = 77,084.57/x
  3. Step 3: Cross multiply
    130,806.86x = 180,491.74 × 77,084.57
  4. Step 4: Simplify right side
    130,806.86x = 13,913,129,112.39
  5. Step 5: Solve for x
    x = 13,913,129,112.39/130,806.86
  6. Step 6: Final answer
    x = 106,363.91

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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.