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Finding the Fourth Proportional to 130,509.40, 180,107.91 and 73,149.77

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Solution

The fourth proportional to 130,509.40, 180,107.91 and 73,149.77 is: 100,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,509.40 : 180,107.91 = 73,149.77 : x
  2. Step 2: Convert to fraction form
    130,509.40/180,107.91 = 73,149.77/x
  3. Step 3: Cross multiply
    130,509.40x = 180,107.91 × 73,149.77
  4. Step 4: Simplify right side
    130,509.40x = 13,174,851,638.78
  5. Step 5: Solve for x
    x = 13,174,851,638.78/130,509.40
  6. Step 6: Final answer
    x = 100,949.45

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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.