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Finding the Fourth Proportional to 157,313.46, 217,091.49 and 85,693.50

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Solution

The fourth proportional to 157,313.46, 217,091.49 and 85,693.50 is: 118,256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,313.46 : 217,091.49 = 85,693.50 : x
  2. Step 2: Convert to fraction form
    157,313.46/217,091.49 = 85,693.50/x
  3. Step 3: Cross multiply
    157,313.46x = 217,091.49 × 85,693.50
  4. Step 4: Simplify right side
    157,313.46x = 18,603,329,598.32
  5. Step 5: Solve for x
    x = 18,603,329,598.32/157,313.46
  6. Step 6: Final answer
    x = 118,256.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.