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Finding the Fourth Proportional to 144,060, 216,090.96 and 45,564

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Solution

The fourth proportional to 144,060, 216,090.96 and 45,564 is: 68,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,060 : 216,090.96 = 45,564 : x
  2. Step 2: Convert to fraction form
    144,060/216,090.96 = 45,564/x
  3. Step 3: Cross multiply
    144,060x = 216,090.96 × 45,564
  4. Step 4: Simplify right side
    144,060x = 9,845,968,501.44
  5. Step 5: Solve for x
    x = 9,845,968,501.44/144,060
  6. Step 6: Final answer
    x = 68,346.30

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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.