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Finding the Fourth Proportional to 157,208.58, 216,534.60 and 120,840.48

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Solution

The fourth proportional to 157,208.58, 216,534.60 and 120,840.48 is: 166,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,208.58 : 216,534.60 = 120,840.48 : x
  2. Step 2: Convert to fraction form
    157,208.58/216,534.60 = 120,840.48/x
  3. Step 3: Cross multiply
    157,208.58x = 216,534.60 × 120,840.48
  4. Step 4: Simplify right side
    157,208.58x = 26,166,145,000.61
  5. Step 5: Solve for x
    x = 26,166,145,000.61/157,208.58
  6. Step 6: Final answer
    x = 166,442.22

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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.