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Finding the Fourth Proportional to 130,609.64, 180,240.74 and 70,994.92

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Solution

The fourth proportional to 130,609.64, 180,240.74 and 70,994.92 is: 97,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,609.64 : 180,240.74 = 70,994.92 : x
  2. Step 2: Convert to fraction form
    130,609.64/180,240.74 = 70,994.92/x
  3. Step 3: Cross multiply
    130,609.64x = 180,240.74 × 70,994.92
  4. Step 4: Simplify right side
    130,609.64x = 12,796,176,917.04
  5. Step 5: Solve for x
    x = 12,796,176,917.04/130,609.64
  6. Step 6: Final answer
    x = 97,972.68

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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.