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Finding the Fourth Proportional to 115,730.24, 159,710.40 and 65,432

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Solution

The fourth proportional to 115,730.24, 159,710.40 and 65,432 is: 90,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,730.24 : 159,710.40 = 65,432 : x
  2. Step 2: Convert to fraction form
    115,730.24/159,710.40 = 65,432/x
  3. Step 3: Cross multiply
    115,730.24x = 159,710.40 × 65,432
  4. Step 4: Simplify right side
    115,730.24x = 10,450,170,892.80
  5. Step 5: Solve for x
    x = 10,450,170,892.80/115,730.24
  6. Step 6: Final answer
    x = 90,297.67

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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.