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Finding the Fourth Proportional to 64,987.47, 97,468.92 and 31,674.06

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Solution

The fourth proportional to 64,987.47, 97,468.92 and 31,674.06 is: 47,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,987.47 : 97,468.92 = 31,674.06 : x
  2. Step 2: Convert to fraction form
    64,987.47/97,468.92 = 31,674.06/x
  3. Step 3: Cross multiply
    64,987.47x = 97,468.92 × 31,674.06
  4. Step 4: Simplify right side
    64,987.47x = 3,087,236,420.22
  5. Step 5: Solve for x
    x = 3,087,236,420.22/64,987.47
  6. Step 6: Final answer
    x = 47,505.10

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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.