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Finding the Fourth Proportional to 157,980, 236,978.64 and 47,180.64

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Solution

The fourth proportional to 157,980, 236,978.64 and 47,180.64 is: 70,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,980 : 236,978.64 = 47,180.64 : x
  2. Step 2: Convert to fraction form
    157,980/236,978.64 = 47,180.64/x
  3. Step 3: Cross multiply
    157,980x = 236,978.64 × 47,180.64
  4. Step 4: Simplify right side
    157,980x = 11,180,803,901.53
  5. Step 5: Solve for x
    x = 11,180,803,901.53/157,980
  6. Step 6: Final answer
    x = 70,773.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.