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Finding the Fourth Proportional to 119,188.64, 164,482.80 and 65,477

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Solution

The fourth proportional to 119,188.64, 164,482.80 and 65,477 is: 90,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,188.64 : 164,482.80 = 65,477 : x
  2. Step 2: Convert to fraction form
    119,188.64/164,482.80 = 65,477/x
  3. Step 3: Cross multiply
    119,188.64x = 164,482.80 × 65,477
  4. Step 4: Simplify right side
    119,188.64x = 10,769,840,295.60
  5. Step 5: Solve for x
    x = 10,769,840,295.60/119,188.64
  6. Step 6: Final answer
    x = 90,359.62

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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.