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Finding the Fourth Proportional to 119,210.81, 164,583.16 and 78,959.07

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Solution

The fourth proportional to 119,210.81, 164,583.16 and 78,959.07 is: 109,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,210.81 : 164,583.16 = 78,959.07 : x
  2. Step 2: Convert to fraction form
    119,210.81/164,583.16 = 78,959.07/x
  3. Step 3: Cross multiply
    119,210.81x = 164,583.16 × 78,959.07
  4. Step 4: Simplify right side
    119,210.81x = 12,995,333,053.86
  5. Step 5: Solve for x
    x = 12,995,333,053.86/119,210.81
  6. Step 6: Final answer
    x = 109,011.37

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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.