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Finding the Fourth Proportional to 123,985.60, 185,978.40 and 40,868.80

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Solution

The fourth proportional to 123,985.60, 185,978.40 and 40,868.80 is: 61,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,985.60 : 185,978.40 = 40,868.80 : x
  2. Step 2: Convert to fraction form
    123,985.60/185,978.40 = 40,868.80/x
  3. Step 3: Cross multiply
    123,985.60x = 185,978.40 × 40,868.80
  4. Step 4: Simplify right side
    123,985.60x = 7,600,714,033.92
  5. Step 5: Solve for x
    x = 7,600,714,033.92/123,985.60
  6. Step 6: Final answer
    x = 61,303.20

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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.