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Finding the Fourth Proportional to 145,978.80, 218,968.20 and 116,454.30

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Solution

The fourth proportional to 145,978.80, 218,968.20 and 116,454.30 is: 174,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,978.80 : 218,968.20 = 116,454.30 : x
  2. Step 2: Convert to fraction form
    145,978.80/218,968.20 = 116,454.30/x
  3. Step 3: Cross multiply
    145,978.80x = 218,968.20 × 116,454.30
  4. Step 4: Simplify right side
    145,978.80x = 25,499,788,453.26
  5. Step 5: Solve for x
    x = 25,499,788,453.26/145,978.80
  6. Step 6: Final answer
    x = 174,681.45

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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.