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Finding the Fourth Proportional to 152,718, 210,750.96 and 85,650

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Solution

The fourth proportional to 152,718, 210,750.96 and 85,650 is: 118,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,718 : 210,750.96 = 85,650 : x
  2. Step 2: Convert to fraction form
    152,718/210,750.96 = 85,650/x
  3. Step 3: Cross multiply
    152,718x = 210,750.96 × 85,650
  4. Step 4: Simplify right side
    152,718x = 18,050,819,724
  5. Step 5: Solve for x
    x = 18,050,819,724/152,718
  6. Step 6: Final answer
    x = 118,197.07

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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.