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Finding the Fourth Proportional to 130,503, 180,106.76 and 73,152.06

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Solution

The fourth proportional to 130,503, 180,106.76 and 73,152.06 is: 100,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,503 : 180,106.76 = 73,152.06 : x
  2. Step 2: Convert to fraction form
    130,503/180,106.76 = 73,152.06/x
  3. Step 3: Cross multiply
    130,503x = 180,106.76 × 73,152.06
  4. Step 4: Simplify right side
    130,503x = 13,175,180,513.93
  5. Step 5: Solve for x
    x = 13,175,180,513.93/130,503
  6. Step 6: Final answer
    x = 100,956.92

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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.