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Finding the Fourth Proportional to 154,953.68, 213,825.48 and 86,962.64

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Solution

The fourth proportional to 154,953.68, 213,825.48 and 86,962.64 is: 120,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,953.68 : 213,825.48 = 86,962.64 : x
  2. Step 2: Convert to fraction form
    154,953.68/213,825.48 = 86,962.64/x
  3. Step 3: Cross multiply
    154,953.68x = 213,825.48 × 86,962.64
  4. Step 4: Simplify right side
    154,953.68x = 18,594,828,240.07
  5. Step 5: Solve for x
    x = 18,594,828,240.07/154,953.68
  6. Step 6: Final answer
    x = 120,002.50

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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.