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Finding the Fourth Proportional to 130,970.76, 180,876.89 and 90,240.80

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Solution

The fourth proportional to 130,970.76, 180,876.89 and 90,240.80 is: 124,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,970.76 : 180,876.89 = 90,240.80 : x
  2. Step 2: Convert to fraction form
    130,970.76/180,876.89 = 90,240.80/x
  3. Step 3: Cross multiply
    130,970.76x = 180,876.89 × 90,240.80
  4. Step 4: Simplify right side
    130,970.76x = 16,322,473,899.52
  5. Step 5: Solve for x
    x = 16,322,473,899.52/130,970.76
  6. Step 6: Final answer
    x = 124,626.85

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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.