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Finding the Fourth Proportional to 97,345.53, 145,967.40 and 43,991.64

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Solution

The fourth proportional to 97,345.53, 145,967.40 and 43,991.64 is: 65,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,345.53 : 145,967.40 = 43,991.64 : x
  2. Step 2: Convert to fraction form
    97,345.53/145,967.40 = 43,991.64/x
  3. Step 3: Cross multiply
    97,345.53x = 145,967.40 × 43,991.64
  4. Step 4: Simplify right side
    97,345.53x = 6,421,345,312.54
  5. Step 5: Solve for x
    x = 6,421,345,312.54/97,345.53
  6. Step 6: Final answer
    x = 65,964.46

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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.