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Finding the Fourth Proportional to 130,680, 180,339.04 and 71,064

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Solution

The fourth proportional to 130,680, 180,339.04 and 71,064 is: 98,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,680 : 180,339.04 = 71,064 : x
  2. Step 2: Convert to fraction form
    130,680/180,339.04 = 71,064/x
  3. Step 3: Cross multiply
    130,680x = 180,339.04 × 71,064
  4. Step 4: Simplify right side
    130,680x = 12,815,613,538.56
  5. Step 5: Solve for x
    x = 12,815,613,538.56/130,680
  6. Step 6: Final answer
    x = 98,068.67

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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.