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Finding the Fourth Proportional to 130,509.96, 180,103.56 and 73,149.66

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Solution

The fourth proportional to 130,509.96, 180,103.56 and 73,149.66 is: 100,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,509.96 : 180,103.56 = 73,149.66 : x
  2. Step 2: Convert to fraction form
    130,509.96/180,103.56 = 73,149.66/x
  3. Step 3: Cross multiply
    130,509.96x = 180,103.56 × 73,149.66
  4. Step 4: Simplify right side
    130,509.96x = 13,174,514,178.79
  5. Step 5: Solve for x
    x = 13,174,514,178.79/130,509.96
  6. Step 6: Final answer
    x = 100,946.43

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1.5x scale

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.