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Finding the Fourth Proportional to 202,435.70, 303,459.15 and 157,432.10

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Solution

The fourth proportional to 202,435.70, 303,459.15 and 157,432.10 is: 235,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,435.70 : 303,459.15 = 157,432.10 : x
  2. Step 2: Convert to fraction form
    202,435.70/303,459.15 = 157,432.10/x
  3. Step 3: Cross multiply
    202,435.70x = 303,459.15 × 157,432.10
  4. Step 4: Simplify right side
    202,435.70x = 47,774,211,248.72
  5. Step 5: Solve for x
    x = 47,774,211,248.72/202,435.70
  6. Step 6: Final answer
    x = 235,996.97

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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.