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Finding the Fourth Proportional to 64,872, 97,182.12 and 42,617.84

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Solution

The fourth proportional to 64,872, 97,182.12 and 42,617.84 is: 63,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,872 : 97,182.12 = 42,617.84 : x
  2. Step 2: Convert to fraction form
    64,872/97,182.12 = 42,617.84/x
  3. Step 3: Cross multiply
    64,872x = 97,182.12 × 42,617.84
  4. Step 4: Simplify right side
    64,872x = 4,141,692,041.02
  5. Step 5: Solve for x
    x = 4,141,692,041.02/64,872
  6. Step 6: Final answer
    x = 63,844.06

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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.