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Finding the Fourth Proportional to 242,530.70, 363,709.65 and 84,764.30

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Solution

The fourth proportional to 242,530.70, 363,709.65 and 84,764.30 is: 127,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.70 : 363,709.65 = 84,764.30 : x
  2. Step 2: Convert to fraction form
    242,530.70/363,709.65 = 84,764.30/x
  3. Step 3: Cross multiply
    242,530.70x = 363,709.65 × 84,764.30
  4. Step 4: Simplify right side
    242,530.70x = 30,829,593,885.50
  5. Step 5: Solve for x
    x = 30,829,593,885.50/242,530.70
  6. Step 6: Final answer
    x = 127,116.25

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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.