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Finding the Fourth Proportional to 157,200, 216,935.64 and 85,580.52

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Solution

The fourth proportional to 157,200, 216,935.64 and 85,580.52 is: 118,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,200 : 216,935.64 = 85,580.52 : x
  2. Step 2: Convert to fraction form
    157,200/216,935.64 = 85,580.52/x
  3. Step 3: Cross multiply
    157,200x = 216,935.64 × 85,580.52
  4. Step 4: Simplify right side
    157,200x = 18,565,464,877.73
  5. Step 5: Solve for x
    x = 18,565,464,877.73/157,200
  6. Step 6: Final answer
    x = 118,100.92

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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.