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Finding the Fourth Proportional to 131,374, 181,300.44 and 71,758

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Solution

The fourth proportional to 131,374, 181,300.44 and 71,758 is: 99,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,374 : 181,300.44 = 71,758 : x
  2. Step 2: Convert to fraction form
    131,374/181,300.44 = 71,758/x
  3. Step 3: Cross multiply
    131,374x = 181,300.44 × 71,758
  4. Step 4: Simplify right side
    131,374x = 13,009,756,973.52
  5. Step 5: Solve for x
    x = 13,009,756,973.52/131,374
  6. Step 6: Final answer
    x = 99,028.40

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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.