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Finding the Fourth Proportional to 46,656, 64,385.28 and 29,889

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Solution

The fourth proportional to 46,656, 64,385.28 and 29,889 is: 41,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656 : 64,385.28 = 29,889 : x
  2. Step 2: Convert to fraction form
    46,656/64,385.28 = 29,889/x
  3. Step 3: Cross multiply
    46,656x = 64,385.28 × 29,889
  4. Step 4: Simplify right side
    46,656x = 1,924,411,633.92
  5. Step 5: Solve for x
    x = 1,924,411,633.92/46,656
  6. Step 6: Final answer
    x = 41,246.82

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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.