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Finding the Fourth Proportional to 108,097, 162,145.50 and 42,433

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Solution

The fourth proportional to 108,097, 162,145.50 and 42,433 is: 63,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,097 : 162,145.50 = 42,433 : x
  2. Step 2: Convert to fraction form
    108,097/162,145.50 = 42,433/x
  3. Step 3: Cross multiply
    108,097x = 162,145.50 × 42,433
  4. Step 4: Simplify right side
    108,097x = 6,880,320,001.50
  5. Step 5: Solve for x
    x = 6,880,320,001.50/108,097
  6. Step 6: Final answer
    x = 63,649.50

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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.