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Finding the Fourth Proportional to 145,405.60, 218,108.40 and 103,415.20

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Solution

The fourth proportional to 145,405.60, 218,108.40 and 103,415.20 is: 155,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,405.60 : 218,108.40 = 103,415.20 : x
  2. Step 2: Convert to fraction form
    145,405.60/218,108.40 = 103,415.20/x
  3. Step 3: Cross multiply
    145,405.60x = 218,108.40 × 103,415.20
  4. Step 4: Simplify right side
    145,405.60x = 22,555,723,807.68
  5. Step 5: Solve for x
    x = 22,555,723,807.68/145,405.60
  6. Step 6: Final answer
    x = 155,122.80

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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.