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Finding the Fourth Proportional to 131,470, 181,428.60 and 71,854

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Solution

The fourth proportional to 131,470, 181,428.60 and 71,854 is: 99,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,470 : 181,428.60 = 71,854 : x
  2. Step 2: Convert to fraction form
    131,470/181,428.60 = 71,854/x
  3. Step 3: Cross multiply
    131,470x = 181,428.60 × 71,854
  4. Step 4: Simplify right side
    131,470x = 13,036,370,624.40
  5. Step 5: Solve for x
    x = 13,036,370,624.40/131,470
  6. Step 6: Final answer
    x = 99,158.52

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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.