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Finding the Fourth Proportional to 105,602.67, 145,777.32 and 63,153

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Solution

The fourth proportional to 105,602.67, 145,777.32 and 63,153 is: 87,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602.67 : 145,777.32 = 63,153 : x
  2. Step 2: Convert to fraction form
    105,602.67/145,777.32 = 63,153/x
  3. Step 3: Cross multiply
    105,602.67x = 145,777.32 × 63,153
  4. Step 4: Simplify right side
    105,602.67x = 9,206,275,089.96
  5. Step 5: Solve for x
    x = 9,206,275,089.96/105,602.67
  6. Step 6: Final answer
    x = 87,178.43

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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.