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Finding the Fourth Proportional to 93,129.36, 128,511 and 64,896

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Solution

The fourth proportional to 93,129.36, 128,511 and 64,896 is: 89,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,129.36 : 128,511 = 64,896 : x
  2. Step 2: Convert to fraction form
    93,129.36/128,511 = 64,896/x
  3. Step 3: Cross multiply
    93,129.36x = 128,511 × 64,896
  4. Step 4: Simplify right side
    93,129.36x = 8,339,849,856
  5. Step 5: Solve for x
    x = 8,339,849,856/93,129.36
  6. Step 6: Final answer
    x = 89,551.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.