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Finding the Fourth Proportional to 130,602.84, 180,200.44 and 82,838.76

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Solution

The fourth proportional to 130,602.84, 180,200.44 and 82,838.76 is: 114,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,602.84 : 180,200.44 = 82,838.76 : x
  2. Step 2: Convert to fraction form
    130,602.84/180,200.44 = 82,838.76/x
  3. Step 3: Cross multiply
    130,602.84x = 180,200.44 × 82,838.76
  4. Step 4: Simplify right side
    130,602.84x = 14,927,581,001.05
  5. Step 5: Solve for x
    x = 14,927,581,001.05/130,602.84
  6. Step 6: Final answer
    x = 114,297.52

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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.