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Finding the Fourth Proportional to 119,204.68, 164,461.10 and 76,209.34

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Solution

The fourth proportional to 119,204.68, 164,461.10 and 76,209.34 is: 105,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,204.68 : 164,461.10 = 76,209.34 : x
  2. Step 2: Convert to fraction form
    119,204.68/164,461.10 = 76,209.34/x
  3. Step 3: Cross multiply
    119,204.68x = 164,461.10 × 76,209.34
  4. Step 4: Simplify right side
    119,204.68x = 12,533,471,886.67
  5. Step 5: Solve for x
    x = 12,533,471,886.67/119,204.68
  6. Step 6: Final answer
    x = 105,142.45

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