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Finding the Fourth Proportional to 157,035.36, 216,702.60 and 85,415.28

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Solution

The fourth proportional to 157,035.36, 216,702.60 and 85,415.28 is: 117,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,035.36 : 216,702.60 = 85,415.28 : x
  2. Step 2: Convert to fraction form
    157,035.36/216,702.60 = 85,415.28/x
  3. Step 3: Cross multiply
    157,035.36x = 216,702.60 × 85,415.28
  4. Step 4: Simplify right side
    157,035.36x = 18,509,713,255.73
  5. Step 5: Solve for x
    x = 18,509,713,255.73/157,035.36
  6. Step 6: Final answer
    x = 117,869.72

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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.