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Finding the Fourth Proportional to 152,308.53, 210,185.75 and 85,240.53

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Solution

The fourth proportional to 152,308.53, 210,185.75 and 85,240.53 is: 117,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,308.53 : 210,185.75 = 85,240.53 : x
  2. Step 2: Convert to fraction form
    152,308.53/210,185.75 = 85,240.53/x
  3. Step 3: Cross multiply
    152,308.53x = 210,185.75 × 85,240.53
  4. Step 4: Simplify right side
    152,308.53x = 17,916,344,302.24
  5. Step 5: Solve for x
    x = 17,916,344,302.24/152,308.53
  6. Step 6: Final answer
    x = 117,631.92

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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.