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Finding the Fourth Proportional to 120,602.42, 180,776 and 40,564.20

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Solution

The fourth proportional to 120,602.42, 180,776 and 40,564.20 is: 60,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,602.42 : 180,776 = 40,564.20 : x
  2. Step 2: Convert to fraction form
    120,602.42/180,776 = 40,564.20/x
  3. Step 3: Cross multiply
    120,602.42x = 180,776 × 40,564.20
  4. Step 4: Simplify right side
    120,602.42x = 7,333,033,819.20
  5. Step 5: Solve for x
    x = 7,333,033,819.20/120,602.42
  6. Step 6: Final answer
    x = 60,803.37

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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.