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Finding the Fourth Proportional to 131,364, 181,282.32 and 71,748

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Solution

The fourth proportional to 131,364, 181,282.32 and 71,748 is: 99,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,364 : 181,282.32 = 71,748 : x
  2. Step 2: Convert to fraction form
    131,364/181,282.32 = 71,748/x
  3. Step 3: Cross multiply
    131,364x = 181,282.32 × 71,748
  4. Step 4: Simplify right side
    131,364x = 13,006,643,895.36
  5. Step 5: Solve for x
    x = 13,006,643,895.36/131,364
  6. Step 6: Final answer
    x = 99,012.24

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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.