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Finding the Fourth Proportional to 157,059.40, 235,329.90 and 133,731.40

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Solution

The fourth proportional to 157,059.40, 235,329.90 and 133,731.40 is: 200,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,059.40 : 235,329.90 = 133,731.40 : x
  2. Step 2: Convert to fraction form
    157,059.40/235,329.90 = 133,731.40/x
  3. Step 3: Cross multiply
    157,059.40x = 235,329.90 × 133,731.40
  4. Step 4: Simplify right side
    157,059.40x = 31,470,996,988.86
  5. Step 5: Solve for x
    x = 31,470,996,988.86/157,059.40
  6. Step 6: Final answer
    x = 200,376.40

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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.