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Finding the Fourth Proportional to 154,101, 212,659.38 and 83,445

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Solution

The fourth proportional to 154,101, 212,659.38 and 83,445 is: 115,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,101 : 212,659.38 = 83,445 : x
  2. Step 2: Convert to fraction form
    154,101/212,659.38 = 83,445/x
  3. Step 3: Cross multiply
    154,101x = 212,659.38 × 83,445
  4. Step 4: Simplify right side
    154,101x = 17,745,361,964.10
  5. Step 5: Solve for x
    x = 17,745,361,964.10/154,101
  6. Step 6: Final answer
    x = 115,154.10

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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.