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Finding the Fourth Proportional to 105,762.92, 158,779.66 and 90,865.37

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Solution

The fourth proportional to 105,762.92, 158,779.66 and 90,865.37 is: 136,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762.92 : 158,779.66 = 90,865.37 : x
  2. Step 2: Convert to fraction form
    105,762.92/158,779.66 = 90,865.37/x
  3. Step 3: Cross multiply
    105,762.92x = 158,779.66 × 90,865.37
  4. Step 4: Simplify right side
    105,762.92x = 14,427,572,724.16
  5. Step 5: Solve for x
    x = 14,427,572,724.16/105,762.92
  6. Step 6: Final answer
    x = 136,414.28

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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.