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Finding the Fourth Proportional to 77,318.88, 106,699.44 and 70,971.10

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Solution

The fourth proportional to 77,318.88, 106,699.44 and 70,971.10 is: 97,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,318.88 : 106,699.44 = 70,971.10 : x
  2. Step 2: Convert to fraction form
    77,318.88/106,699.44 = 70,971.10/x
  3. Step 3: Cross multiply
    77,318.88x = 106,699.44 × 70,971.10
  4. Step 4: Simplify right side
    77,318.88x = 7,572,576,626.18
  5. Step 5: Solve for x
    x = 7,572,576,626.18/77,318.88
  6. Step 6: Final answer
    x = 97,939.55

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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.