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Finding the Fourth Proportional to 157,004.26, 216,664.80 and 85,384.08

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Solution

The fourth proportional to 157,004.26, 216,664.80 and 85,384.08 is: 117,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,004.26 : 216,664.80 = 85,384.08 : x
  2. Step 2: Convert to fraction form
    157,004.26/216,664.80 = 85,384.08/x
  3. Step 3: Cross multiply
    157,004.26x = 216,664.80 × 85,384.08
  4. Step 4: Simplify right side
    157,004.26x = 18,499,724,616.38
  5. Step 5: Solve for x
    x = 18,499,724,616.38/157,004.26
  6. Step 6: Final answer
    x = 117,829.44

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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.