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Finding the Fourth Proportional to 157,004.42, 216,664.04 and 85,382.90

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Solution

The fourth proportional to 157,004.42, 216,664.04 and 85,382.90 is: 117,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,004.42 : 216,664.04 = 85,382.90 : x
  2. Step 2: Convert to fraction form
    157,004.42/216,664.04 = 85,382.90/x
  3. Step 3: Cross multiply
    157,004.42x = 216,664.04 × 85,382.90
  4. Step 4: Simplify right side
    157,004.42x = 18,499,404,060.92
  5. Step 5: Solve for x
    x = 18,499,404,060.92/157,004.42
  6. Step 6: Final answer
    x = 117,827.28

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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.