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Finding the Fourth Proportional to 102,656.20, 153,962.70 and 43,493.80

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Solution

The fourth proportional to 102,656.20, 153,962.70 and 43,493.80 is: 65,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656.20 : 153,962.70 = 43,493.80 : x
  2. Step 2: Convert to fraction form
    102,656.20/153,962.70 = 43,493.80/x
  3. Step 3: Cross multiply
    102,656.20x = 153,962.70 × 43,493.80
  4. Step 4: Simplify right side
    102,656.20x = 6,696,422,881.26
  5. Step 5: Solve for x
    x = 6,696,422,881.26/102,656.20
  6. Step 6: Final answer
    x = 65,231.55

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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.