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Finding the Fourth Proportional to 255,012.51, 382,562.52 and 77,537.46

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Solution

The fourth proportional to 255,012.51, 382,562.52 and 77,537.46 is: 116,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,012.51 : 382,562.52 = 77,537.46 : x
  2. Step 2: Convert to fraction form
    255,012.51/382,562.52 = 77,537.46/x
  3. Step 3: Cross multiply
    255,012.51x = 382,562.52 × 77,537.46
  4. Step 4: Simplify right side
    255,012.51x = 29,662,926,092.00
  5. Step 5: Solve for x
    x = 29,662,926,092.00/255,012.51
  6. Step 6: Final answer
    x = 116,319.49

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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.