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Finding the Fourth Proportional to 253,551.98, 349,907.10 and 138,835.46

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Solution

The fourth proportional to 253,551.98, 349,907.10 and 138,835.46 is: 191,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,551.98 : 349,907.10 = 138,835.46 : x
  2. Step 2: Convert to fraction form
    253,551.98/349,907.10 = 138,835.46/x
  3. Step 3: Cross multiply
    253,551.98x = 349,907.10 × 138,835.46
  4. Step 4: Simplify right side
    253,551.98x = 48,579,513,185.77
  5. Step 5: Solve for x
    x = 48,579,513,185.77/253,551.98
  6. Step 6: Final answer
    x = 191,595.87

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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.