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Finding the Fourth Proportional to 157,052.76, 216,736.32 and 85,436.64

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Solution

The fourth proportional to 157,052.76, 216,736.32 and 85,436.64 is: 117,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,052.76 : 216,736.32 = 85,436.64 : x
  2. Step 2: Convert to fraction form
    157,052.76/216,736.32 = 85,436.64/x
  3. Step 3: Cross multiply
    157,052.76x = 216,736.32 × 85,436.64
  4. Step 4: Simplify right side
    157,052.76x = 18,517,222,946.76
  5. Step 5: Solve for x
    x = 18,517,222,946.76/157,052.76
  6. Step 6: Final answer
    x = 117,904.47

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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.