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Finding the Fourth Proportional to 55,297, 76,307.40 and 31,425.88

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Solution

The fourth proportional to 55,297, 76,307.40 and 31,425.88 is: 43,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,297 : 76,307.40 = 31,425.88 : x
  2. Step 2: Convert to fraction form
    55,297/76,307.40 = 31,425.88/x
  3. Step 3: Cross multiply
    55,297x = 76,307.40 × 31,425.88
  4. Step 4: Simplify right side
    55,297x = 2,398,027,195.51
  5. Step 5: Solve for x
    x = 2,398,027,195.51/55,297
  6. Step 6: Final answer
    x = 43,366.32

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1.5x scale

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.