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Finding the Fourth Proportional to 152,706, 210,734.40 and 85,638

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Solution

The fourth proportional to 152,706, 210,734.40 and 85,638 is: 118,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,706 : 210,734.40 = 85,638 : x
  2. Step 2: Convert to fraction form
    152,706/210,734.40 = 85,638/x
  3. Step 3: Cross multiply
    152,706x = 210,734.40 × 85,638
  4. Step 4: Simplify right side
    152,706x = 18,046,872,547.20
  5. Step 5: Solve for x
    x = 18,046,872,547.20/152,706
  6. Step 6: Final answer
    x = 118,180.51

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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.