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Finding the Fourth Proportional to 100,155.79, 138,214.76 and 54,833.76

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Solution

The fourth proportional to 100,155.79, 138,214.76 and 54,833.76 is: 75,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,155.79 : 138,214.76 = 54,833.76 : x
  2. Step 2: Convert to fraction form
    100,155.79/138,214.76 = 54,833.76/x
  3. Step 3: Cross multiply
    100,155.79x = 138,214.76 × 54,833.76
  4. Step 4: Simplify right side
    100,155.79x = 7,578,834,704.13
  5. Step 5: Solve for x
    x = 7,578,834,704.13/100,155.79
  6. Step 6: Final answer
    x = 75,670.46

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1.5x scale

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.