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Finding the Fourth Proportional to 119,385.16, 164,703.78 and 76,354.74

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Solution

The fourth proportional to 119,385.16, 164,703.78 and 76,354.74 is: 105,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,385.16 : 164,703.78 = 76,354.74 : x
  2. Step 2: Convert to fraction form
    119,385.16/164,703.78 = 76,354.74/x
  3. Step 3: Cross multiply
    119,385.16x = 164,703.78 × 76,354.74
  4. Step 4: Simplify right side
    119,385.16x = 12,575,914,298.92
  5. Step 5: Solve for x
    x = 12,575,914,298.92/119,385.16
  6. Step 6: Final answer
    x = 105,339.01

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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.