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Finding the Fourth Proportional to 100,934.91, 138,281.48 and 97,151.40

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Solution

The fourth proportional to 100,934.91, 138,281.48 and 97,151.40 is: 133,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,934.91 : 138,281.48 = 97,151.40 : x
  2. Step 2: Convert to fraction form
    100,934.91/138,281.48 = 97,151.40/x
  3. Step 3: Cross multiply
    100,934.91x = 138,281.48 × 97,151.40
  4. Step 4: Simplify right side
    100,934.91x = 13,434,239,254.63
  5. Step 5: Solve for x
    x = 13,434,239,254.63/100,934.91
  6. Step 6: Final answer
    x = 133,098.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.