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Finding the Fourth Proportional to 157,021.54, 216,692.47 and 85,402.05

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Solution

The fourth proportional to 157,021.54, 216,692.47 and 85,402.05 is: 117,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,021.54 : 216,692.47 = 85,402.05 : x
  2. Step 2: Convert to fraction form
    157,021.54/216,692.47 = 85,402.05/x
  3. Step 3: Cross multiply
    157,021.54x = 216,692.47 × 85,402.05
  4. Step 4: Simplify right side
    157,021.54x = 18,505,979,971.33
  5. Step 5: Solve for x
    x = 18,505,979,971.33/157,021.54
  6. Step 6: Final answer
    x = 117,856.32

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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.