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Finding the Fourth Proportional to 130,124.64, 194,874.30 and 111,297

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Solution

The fourth proportional to 130,124.64, 194,874.30 and 111,297 is: 166,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,124.64 : 194,874.30 = 111,297 : x
  2. Step 2: Convert to fraction form
    130,124.64/194,874.30 = 111,297/x
  3. Step 3: Cross multiply
    130,124.64x = 194,874.30 × 111,297
  4. Step 4: Simplify right side
    130,124.64x = 21,688,924,967.10
  5. Step 5: Solve for x
    x = 21,688,924,967.10/130,124.64
  6. Step 6: Final answer
    x = 166,678.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.