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Finding the Fourth Proportional to 157,062.06, 216,739.26 and 85,442.13

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Solution

The fourth proportional to 157,062.06, 216,739.26 and 85,442.13 is: 117,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,062.06 : 216,739.26 = 85,442.13 : x
  2. Step 2: Convert to fraction form
    157,062.06/216,739.26 = 85,442.13/x
  3. Step 3: Cross multiply
    157,062.06x = 216,739.26 × 85,442.13
  4. Step 4: Simplify right side
    157,062.06x = 18,518,664,029.02
  5. Step 5: Solve for x
    x = 18,518,664,029.02/157,062.06
  6. Step 6: Final answer
    x = 117,906.67

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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.