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Finding the Fourth Proportional to 100,117.31, 138,156.64 and 54,786.47

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Solution

The fourth proportional to 100,117.31, 138,156.64 and 54,786.47 is: 75,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,117.31 : 138,156.64 = 54,786.47 : x
  2. Step 2: Convert to fraction form
    100,117.31/138,156.64 = 54,786.47/x
  3. Step 3: Cross multiply
    100,117.31x = 138,156.64 × 54,786.47
  4. Step 4: Simplify right side
    100,117.31x = 7,569,113,784.91
  5. Step 5: Solve for x
    x = 7,569,113,784.91/100,117.31
  6. Step 6: Final answer
    x = 75,602.45

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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.