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Finding the Fourth Proportional to 152,328, 210,212.64 and 85,260.48

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Solution

The fourth proportional to 152,328, 210,212.64 and 85,260.48 is: 117,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,328 : 210,212.64 = 85,260.48 : x
  2. Step 2: Convert to fraction form
    152,328/210,212.64 = 85,260.48/x
  3. Step 3: Cross multiply
    152,328x = 210,212.64 × 85,260.48
  4. Step 4: Simplify right side
    152,328x = 17,922,830,588.47
  5. Step 5: Solve for x
    x = 17,922,830,588.47/152,328
  6. Step 6: Final answer
    x = 117,659.46

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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.