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Finding the Fourth Proportional to 169,484.64, 254,127.28 and 64,311

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Solution

The fourth proportional to 169,484.64, 254,127.28 and 64,311 is: 96,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,484.64 : 254,127.28 = 64,311 : x
  2. Step 2: Convert to fraction form
    169,484.64/254,127.28 = 64,311/x
  3. Step 3: Cross multiply
    169,484.64x = 254,127.28 × 64,311
  4. Step 4: Simplify right side
    169,484.64x = 16,343,179,504.08
  5. Step 5: Solve for x
    x = 16,343,179,504.08/169,484.64
  6. Step 6: Final answer
    x = 96,428.68

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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.