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Finding the Fourth Proportional to 157,085.48, 216,778.91 and 85,466.03

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Solution

The fourth proportional to 157,085.48, 216,778.91 and 85,466.03 is: 117,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,085.48 : 216,778.91 = 85,466.03 : x
  2. Step 2: Convert to fraction form
    157,085.48/216,778.91 = 85,466.03/x
  3. Step 3: Cross multiply
    157,085.48x = 216,778.91 × 85,466.03
  4. Step 4: Simplify right side
    157,085.48x = 18,527,231,314.20
  5. Step 5: Solve for x
    x = 18,527,231,314.20/157,085.48
  6. Step 6: Final answer
    x = 117,943.63

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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.