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Finding the Fourth Proportional to 136,712.50, 205,159.88 and 52,542.16

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Solution

The fourth proportional to 136,712.50, 205,159.88 and 52,542.16 is: 78,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,712.50 : 205,159.88 = 52,542.16 : x
  2. Step 2: Convert to fraction form
    136,712.50/205,159.88 = 52,542.16/x
  3. Step 3: Cross multiply
    136,712.50x = 205,159.88 × 52,542.16
  4. Step 4: Simplify right side
    136,712.50x = 10,779,543,240.54
  5. Step 5: Solve for x
    x = 10,779,543,240.54/136,712.50
  6. Step 6: Final answer
    x = 78,848.26

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