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Finding the Fourth Proportional to 123,985.60, 185,978.40 and 74,219.20

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Solution

The fourth proportional to 123,985.60, 185,978.40 and 74,219.20 is: 111,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,985.60 : 185,978.40 = 74,219.20 : x
  2. Step 2: Convert to fraction form
    123,985.60/185,978.40 = 74,219.20/x
  3. Step 3: Cross multiply
    123,985.60x = 185,978.40 × 74,219.20
  4. Step 4: Simplify right side
    123,985.60x = 13,803,168,065.28
  5. Step 5: Solve for x
    x = 13,803,168,065.28/123,985.60
  6. Step 6: Final answer
    x = 111,328.80

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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.