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Finding the Fourth Proportional to 119,415.30, 164,794.42 and 64,967.78

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Solution

The fourth proportional to 119,415.30, 164,794.42 and 64,967.78 is: 89,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,415.30 : 164,794.42 = 64,967.78 : x
  2. Step 2: Convert to fraction form
    119,415.30/164,794.42 = 64,967.78/x
  3. Step 3: Cross multiply
    119,415.30x = 164,794.42 × 64,967.78
  4. Step 4: Simplify right side
    119,415.30x = 10,706,326,637.40
  5. Step 5: Solve for x
    x = 10,706,326,637.40/119,415.30
  6. Step 6: Final answer
    x = 89,656.24

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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.