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Finding the Fourth Proportional to 157,214.70, 235,357.92 and 103,808.16

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Solution

The fourth proportional to 157,214.70, 235,357.92 and 103,808.16 is: 155,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,214.70 : 235,357.92 = 103,808.16 : x
  2. Step 2: Convert to fraction form
    157,214.70/235,357.92 = 103,808.16/x
  3. Step 3: Cross multiply
    157,214.70x = 235,357.92 × 103,808.16
  4. Step 4: Simplify right side
    157,214.70x = 24,432,072,616.63
  5. Step 5: Solve for x
    x = 24,432,072,616.63/157,214.70
  6. Step 6: Final answer
    x = 155,405.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.