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Finding the Fourth Proportional to 157,022.02, 216,684.12 and 85,402

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Solution

The fourth proportional to 157,022.02, 216,684.12 and 85,402 is: 117,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,022.02 : 216,684.12 = 85,402 : x
  2. Step 2: Convert to fraction form
    157,022.02/216,684.12 = 85,402/x
  3. Step 3: Cross multiply
    157,022.02x = 216,684.12 × 85,402
  4. Step 4: Simplify right side
    157,022.02x = 18,505,257,216.24
  5. Step 5: Solve for x
    x = 18,505,257,216.24/157,022.02
  6. Step 6: Final answer
    x = 117,851.35

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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.