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Finding the Fourth Proportional to 102,670.68, 153,962.82 and 43,503.96

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Solution

The fourth proportional to 102,670.68, 153,962.82 and 43,503.96 is: 65,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,670.68 : 153,962.82 = 43,503.96 : x
  2. Step 2: Convert to fraction form
    102,670.68/153,962.82 = 43,503.96/x
  3. Step 3: Cross multiply
    102,670.68x = 153,962.82 × 43,503.96
  4. Step 4: Simplify right side
    102,670.68x = 6,697,992,362.77
  5. Step 5: Solve for x
    x = 6,697,992,362.77/102,670.68
  6. Step 6: Final answer
    x = 65,237.64

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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.