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Finding the Fourth Proportional to 149,985.60, 224,978.40 and 61,180.80

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Solution

The fourth proportional to 149,985.60, 224,978.40 and 61,180.80 is: 91,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,985.60 : 224,978.40 = 61,180.80 : x
  2. Step 2: Convert to fraction form
    149,985.60/224,978.40 = 61,180.80/x
  3. Step 3: Cross multiply
    149,985.60x = 224,978.40 × 61,180.80
  4. Step 4: Simplify right side
    149,985.60x = 13,764,358,494.72
  5. Step 5: Solve for x
    x = 13,764,358,494.72/149,985.60
  6. Step 6: Final answer
    x = 91,771.20

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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.