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Finding the Fourth Proportional to 154,835.80, 232,253.70 and 84,851.80

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Solution

The fourth proportional to 154,835.80, 232,253.70 and 84,851.80 is: 127,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,835.80 : 232,253.70 = 84,851.80 : x
  2. Step 2: Convert to fraction form
    154,835.80/232,253.70 = 84,851.80/x
  3. Step 3: Cross multiply
    154,835.80x = 232,253.70 × 84,851.80
  4. Step 4: Simplify right side
    154,835.80x = 19,707,144,501.66
  5. Step 5: Solve for x
    x = 19,707,144,501.66/154,835.80
  6. Step 6: Final answer
    x = 127,277.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.