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Finding the Fourth Proportional to 157,177.60, 235,822.72 and 78,284.80

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Solution

The fourth proportional to 157,177.60, 235,822.72 and 78,284.80 is: 117,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,177.60 : 235,822.72 = 78,284.80 : x
  2. Step 2: Convert to fraction form
    157,177.60/235,822.72 = 78,284.80/x
  3. Step 3: Cross multiply
    157,177.60x = 235,822.72 × 78,284.80
  4. Step 4: Simplify right side
    157,177.60x = 18,461,334,470.66
  5. Step 5: Solve for x
    x = 18,461,334,470.66/157,177.60
  6. Step 6: Final answer
    x = 117,455.25

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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.