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Finding the Fourth Proportional to 105,776, 145,962.24 and 63,306.08

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Solution

The fourth proportional to 105,776, 145,962.24 and 63,306.08 is: 87,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,776 : 145,962.24 = 63,306.08 : x
  2. Step 2: Convert to fraction form
    105,776/145,962.24 = 63,306.08/x
  3. Step 3: Cross multiply
    105,776x = 145,962.24 × 63,306.08
  4. Step 4: Simplify right side
    105,776x = 9,240,297,242.42
  5. Step 5: Solve for x
    x = 9,240,297,242.42/105,776
  6. Step 6: Final answer
    x = 87,357.22

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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.