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Finding the Fourth Proportional to 130,595.50, 180,221.80 and 70,979.50

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Solution

The fourth proportional to 130,595.50, 180,221.80 and 70,979.50 is: 97,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,595.50 : 180,221.80 = 70,979.50 : x
  2. Step 2: Convert to fraction form
    130,595.50/180,221.80 = 70,979.50/x
  3. Step 3: Cross multiply
    130,595.50x = 180,221.80 × 70,979.50
  4. Step 4: Simplify right side
    130,595.50x = 12,792,053,253.10
  5. Step 5: Solve for x
    x = 12,792,053,253.10/130,595.50
  6. Step 6: Final answer
    x = 97,951.72

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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.