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Finding the Fourth Proportional to 137,011.68, 205,530.24 and 53,886.24

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Solution

The fourth proportional to 137,011.68, 205,530.24 and 53,886.24 is: 80,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,011.68 : 205,530.24 = 53,886.24 : x
  2. Step 2: Convert to fraction form
    137,011.68/205,530.24 = 53,886.24/x
  3. Step 3: Cross multiply
    137,011.68x = 205,530.24 × 53,886.24
  4. Step 4: Simplify right side
    137,011.68x = 11,075,251,839.90
  5. Step 5: Solve for x
    x = 11,075,251,839.90/137,011.68
  6. Step 6: Final answer
    x = 80,834.36

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1.5x scale

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.