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Finding the Fourth Proportional to 176,759, 243,887 and 100,259.84

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Solution

The fourth proportional to 176,759, 243,887 and 100,259.84 is: 138,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,759 : 243,887 = 100,259.84 : x
  2. Step 2: Convert to fraction form
    176,759/243,887 = 100,259.84/x
  3. Step 3: Cross multiply
    176,759x = 243,887 × 100,259.84
  4. Step 4: Simplify right side
    176,759x = 24,452,071,598.08
  5. Step 5: Solve for x
    x = 24,452,071,598.08/176,759
  6. Step 6: Final answer
    x = 138,335.65

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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.