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Finding the Fourth Proportional to 105,772, 145,968.08 and 59,827.88

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Solution

The fourth proportional to 105,772, 145,968.08 and 59,827.88 is: 82,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,772 : 145,968.08 = 59,827.88 : x
  2. Step 2: Convert to fraction form
    105,772/145,968.08 = 59,827.88/x
  3. Step 3: Cross multiply
    105,772x = 145,968.08 × 59,827.88
  4. Step 4: Simplify right side
    105,772x = 8,732,960,774.07
  5. Step 5: Solve for x
    x = 8,732,960,774.07/105,772
  6. Step 6: Final answer
    x = 82,564.01

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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.