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Finding the Fourth Proportional to 86,762.24, 130,055.88 and 65,942

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Solution

The fourth proportional to 86,762.24, 130,055.88 and 65,942 is: 98,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,762.24 : 130,055.88 = 65,942 : x
  2. Step 2: Convert to fraction form
    86,762.24/130,055.88 = 65,942/x
  3. Step 3: Cross multiply
    86,762.24x = 130,055.88 × 65,942
  4. Step 4: Simplify right side
    86,762.24x = 8,576,144,838.96
  5. Step 5: Solve for x
    x = 8,576,144,838.96/86,762.24
  6. Step 6: Final answer
    x = 98,846.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.