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Finding the Fourth Proportional to 157,054.62, 216,736.02 and 85,435.05

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Solution

The fourth proportional to 157,054.62, 216,736.02 and 85,435.05 is: 117,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,054.62 : 216,736.02 = 85,435.05 : x
  2. Step 2: Convert to fraction form
    157,054.62/216,736.02 = 85,435.05/x
  3. Step 3: Cross multiply
    157,054.62x = 216,736.02 × 85,435.05
  4. Step 4: Simplify right side
    157,054.62x = 18,516,852,705.50
  5. Step 5: Solve for x
    x = 18,516,852,705.50/157,054.62
  6. Step 6: Final answer
    x = 117,900.72

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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.