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Finding the Fourth Proportional to 157,090.52, 216,783.89 and 85,470.83

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Solution

The fourth proportional to 157,090.52, 216,783.89 and 85,470.83 is: 117,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,090.52 : 216,783.89 = 85,470.83 : x
  2. Step 2: Convert to fraction form
    157,090.52/216,783.89 = 85,470.83/x
  3. Step 3: Cross multiply
    157,090.52x = 216,783.89 × 85,470.83
  4. Step 4: Simplify right side
    157,090.52x = 18,528,697,497.66
  5. Step 5: Solve for x
    x = 18,528,697,497.66/157,090.52
  6. Step 6: Final answer
    x = 117,949.18

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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.