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Finding the Fourth Proportional to 105,154.32, 157,646.40 and 71,790.48

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Solution

The fourth proportional to 105,154.32, 157,646.40 and 71,790.48 is: 107,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,154.32 : 157,646.40 = 71,790.48 : x
  2. Step 2: Convert to fraction form
    105,154.32/157,646.40 = 71,790.48/x
  3. Step 3: Cross multiply
    105,154.32x = 157,646.40 × 71,790.48
  4. Step 4: Simplify right side
    105,154.32x = 11,317,510,726.27
  5. Step 5: Solve for x
    x = 11,317,510,726.27/105,154.32
  6. Step 6: Final answer
    x = 107,627.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.