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Finding the Fourth Proportional to 119,434.84, 164,765 and 77,007.04

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Solution

The fourth proportional to 119,434.84, 164,765 and 77,007.04 is: 106,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,434.84 : 164,765 = 77,007.04 : x
  2. Step 2: Convert to fraction form
    119,434.84/164,765 = 77,007.04/x
  3. Step 3: Cross multiply
    119,434.84x = 164,765 × 77,007.04
  4. Step 4: Simplify right side
    119,434.84x = 12,688,064,945.60
  5. Step 5: Solve for x
    x = 12,688,064,945.60/119,434.84
  6. Step 6: Final answer
    x = 106,234.20

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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.