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Finding the Fourth Proportional to 245,876.68, 368,742.12 and 105,602.50

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Solution

The fourth proportional to 245,876.68, 368,742.12 and 105,602.50 is: 158,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,876.68 : 368,742.12 = 105,602.50 : x
  2. Step 2: Convert to fraction form
    245,876.68/368,742.12 = 105,602.50/x
  3. Step 3: Cross multiply
    245,876.68x = 368,742.12 × 105,602.50
  4. Step 4: Simplify right side
    245,876.68x = 38,940,089,727.30
  5. Step 5: Solve for x
    x = 38,940,089,727.30/245,876.68
  6. Step 6: Final answer
    x = 158,372.44

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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.