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Finding the Fourth Proportional to 157,208.76, 216,941.28 and 85,589.04

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Solution

The fourth proportional to 157,208.76, 216,941.28 and 85,589.04 is: 118,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,208.76 : 216,941.28 = 85,589.04 : x
  2. Step 2: Convert to fraction form
    157,208.76/216,941.28 = 85,589.04/x
  3. Step 3: Cross multiply
    157,208.76x = 216,941.28 × 85,589.04
  4. Step 4: Simplify right side
    157,208.76x = 18,567,795,891.57
  5. Step 5: Solve for x
    x = 18,567,795,891.57/157,208.76
  6. Step 6: Final answer
    x = 118,109.17

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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.