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Finding the Fourth Proportional to 105,318.84, 145,416.09 and 65,087.76

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Solution

The fourth proportional to 105,318.84, 145,416.09 and 65,087.76 is: 89,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,318.84 : 145,416.09 = 65,087.76 : x
  2. Step 2: Convert to fraction form
    105,318.84/145,416.09 = 65,087.76/x
  3. Step 3: Cross multiply
    105,318.84x = 145,416.09 × 65,087.76
  4. Step 4: Simplify right side
    105,318.84x = 9,464,807,566.06
  5. Step 5: Solve for x
    x = 9,464,807,566.06/105,318.84
  6. Step 6: Final answer
    x = 89,868.13

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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.