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Finding the Fourth Proportional to 64,967.45, 97,451.16 and 15,719.45

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Solution

The fourth proportional to 64,967.45, 97,451.16 and 15,719.45 is: 23,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967.45 : 97,451.16 = 15,719.45 : x
  2. Step 2: Convert to fraction form
    64,967.45/97,451.16 = 15,719.45/x
  3. Step 3: Cross multiply
    64,967.45x = 97,451.16 × 15,719.45
  4. Step 4: Simplify right side
    64,967.45x = 1,531,878,149.81
  5. Step 5: Solve for x
    x = 1,531,878,149.81/64,967.45
  6. Step 6: Final answer
    x = 23,579.17

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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.