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Finding the Fourth Proportional to 152,262, 210,121.56 and 85,206.96

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Solution

The fourth proportional to 152,262, 210,121.56 and 85,206.96 is: 117,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,262 : 210,121.56 = 85,206.96 : x
  2. Step 2: Convert to fraction form
    152,262/210,121.56 = 85,206.96/x
  3. Step 3: Cross multiply
    152,262x = 210,121.56 × 85,206.96
  4. Step 4: Simplify right side
    152,262x = 17,903,819,358.06
  5. Step 5: Solve for x
    x = 17,903,819,358.06/152,262
  6. Step 6: Final answer
    x = 117,585.60

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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.