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Finding the Fourth Proportional to 152,400, 210,312 and 85,333.44

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Solution

The fourth proportional to 152,400, 210,312 and 85,333.44 is: 117,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,400 : 210,312 = 85,333.44 : x
  2. Step 2: Convert to fraction form
    152,400/210,312 = 85,333.44/x
  3. Step 3: Cross multiply
    152,400x = 210,312 × 85,333.44
  4. Step 4: Simplify right side
    152,400x = 17,946,646,433.28
  5. Step 5: Solve for x
    x = 17,946,646,433.28/152,400
  6. Step 6: Final answer
    x = 117,760.15

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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.