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Finding the Fourth Proportional to 130,707.84, 180,431.78 and 88,323.78

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Solution

The fourth proportional to 130,707.84, 180,431.78 and 88,323.78 is: 121,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,707.84 : 180,431.78 = 88,323.78 : x
  2. Step 2: Convert to fraction form
    130,707.84/180,431.78 = 88,323.78/x
  3. Step 3: Cross multiply
    130,707.84x = 180,431.78 × 88,323.78
  4. Step 4: Simplify right side
    130,707.84x = 15,936,416,400.11
  5. Step 5: Solve for x
    x = 15,936,416,400.11/130,707.84
  6. Step 6: Final answer
    x = 121,923.95

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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.