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Finding the Fourth Proportional to 119,534, 164,901.52 and 77,106.20

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Solution

The fourth proportional to 119,534, 164,901.52 and 77,106.20 is: 106,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,534 : 164,901.52 = 77,106.20 : x
  2. Step 2: Convert to fraction form
    119,534/164,901.52 = 77,106.20/x
  3. Step 3: Cross multiply
    119,534x = 164,901.52 × 77,106.20
  4. Step 4: Simplify right side
    119,534x = 12,714,929,581.42
  5. Step 5: Solve for x
    x = 12,714,929,581.42/119,534
  6. Step 6: Final answer
    x = 106,370.82

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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.