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Finding the Fourth Proportional to 136,871.53, 205,307.77 and 42,101.07

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Solution

The fourth proportional to 136,871.53, 205,307.77 and 42,101.07 is: 63,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,871.53 : 205,307.77 = 42,101.07 : x
  2. Step 2: Convert to fraction form
    136,871.53/205,307.77 = 42,101.07/x
  3. Step 3: Cross multiply
    136,871.53x = 205,307.77 × 42,101.07
  4. Step 4: Simplify right side
    136,871.53x = 8,643,676,796.31
  5. Step 5: Solve for x
    x = 8,643,676,796.31/136,871.53
  6. Step 6: Final answer
    x = 63,151.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.