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Finding the Fourth Proportional to 103,209.80, 142,431 and 77,322.48

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Solution

The fourth proportional to 103,209.80, 142,431 and 77,322.48 is: 106,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,209.80 : 142,431 = 77,322.48 : x
  2. Step 2: Convert to fraction form
    103,209.80/142,431 = 77,322.48/x
  3. Step 3: Cross multiply
    103,209.80x = 142,431 × 77,322.48
  4. Step 4: Simplify right side
    103,209.80x = 11,013,118,148.88
  5. Step 5: Solve for x
    x = 11,013,118,148.88/103,209.80
  6. Step 6: Final answer
    x = 106,706.13

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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.