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Finding the Fourth Proportional to 152,240, 210,091.20 and 85,172

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Solution

The fourth proportional to 152,240, 210,091.20 and 85,172 is: 117,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,240 : 210,091.20 = 85,172 : x
  2. Step 2: Convert to fraction form
    152,240/210,091.20 = 85,172/x
  3. Step 3: Cross multiply
    152,240x = 210,091.20 × 85,172
  4. Step 4: Simplify right side
    152,240x = 17,893,887,686.40
  5. Step 5: Solve for x
    x = 17,893,887,686.40/152,240
  6. Step 6: Final answer
    x = 117,537.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.