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Finding the Fourth Proportional to 71,009.76, 97,962.48 and 42,699.20

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Solution

The fourth proportional to 71,009.76, 97,962.48 and 42,699.20 is: 58,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,009.76 : 97,962.48 = 42,699.20 : x
  2. Step 2: Convert to fraction form
    71,009.76/97,962.48 = 42,699.20/x
  3. Step 3: Cross multiply
    71,009.76x = 97,962.48 × 42,699.20
  4. Step 4: Simplify right side
    71,009.76x = 4,182,919,526.02
  5. Step 5: Solve for x
    x = 4,182,919,526.02/71,009.76
  6. Step 6: Final answer
    x = 58,906.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.