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Finding the Fourth Proportional to 157,054.70, 216,739.14 and 85,438.64

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Solution

The fourth proportional to 157,054.70, 216,739.14 and 85,438.64 is: 117,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,054.70 : 216,739.14 = 85,438.64 : x
  2. Step 2: Convert to fraction form
    157,054.70/216,739.14 = 85,438.64/x
  3. Step 3: Cross multiply
    157,054.70x = 216,739.14 × 85,438.64
  4. Step 4: Simplify right side
    157,054.70x = 18,517,897,356.37
  5. Step 5: Solve for x
    x = 18,517,897,356.37/157,054.70
  6. Step 6: Final answer
    x = 117,907.31

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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.