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Finding the Fourth Proportional to 157,090.48, 216,785.80 and 85,471.04

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Solution

The fourth proportional to 157,090.48, 216,785.80 and 85,471.04 is: 117,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,090.48 : 216,785.80 = 85,471.04 : x
  2. Step 2: Convert to fraction form
    157,090.48/216,785.80 = 85,471.04/x
  3. Step 3: Cross multiply
    157,090.48x = 216,785.80 × 85,471.04
  4. Step 4: Simplify right side
    157,090.48x = 18,528,907,783.23
  5. Step 5: Solve for x
    x = 18,528,907,783.23/157,090.48
  6. Step 6: Final answer
    x = 117,950.55

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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.