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Finding the Fourth Proportional to 105,417.72, 145,565.10 and 75,295.44

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Solution

The fourth proportional to 105,417.72, 145,565.10 and 75,295.44 is: 103,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,417.72 : 145,565.10 = 75,295.44 : x
  2. Step 2: Convert to fraction form
    105,417.72/145,565.10 = 75,295.44/x
  3. Step 3: Cross multiply
    105,417.72x = 145,565.10 × 75,295.44
  4. Step 4: Simplify right side
    105,417.72x = 10,960,388,253.14
  5. Step 5: Solve for x
    x = 10,960,388,253.14/105,417.72
  6. Step 6: Final answer
    x = 103,971.02

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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.