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Finding the Fourth Proportional to 65,678.50, 90,636.33 and 35,870.50

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Solution

The fourth proportional to 65,678.50, 90,636.33 and 35,870.50 is: 49,501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678.50 : 90,636.33 = 35,870.50 : x
  2. Step 2: Convert to fraction form
    65,678.50/90,636.33 = 35,870.50/x
  3. Step 3: Cross multiply
    65,678.50x = 90,636.33 × 35,870.50
  4. Step 4: Simplify right side
    65,678.50x = 3,251,170,475.27
  5. Step 5: Solve for x
    x = 3,251,170,475.27/65,678.50
  6. Step 6: Final answer
    x = 49,501.29

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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.