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Finding the Fourth Proportional to 115,652.94, 159,512.98 and 99,547.64

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Solution

The fourth proportional to 115,652.94, 159,512.98 and 99,547.64 is: 137,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,652.94 : 159,512.98 = 99,547.64 : x
  2. Step 2: Convert to fraction form
    115,652.94/159,512.98 = 99,547.64/x
  3. Step 3: Cross multiply
    115,652.94x = 159,512.98 × 99,547.64
  4. Step 4: Simplify right side
    115,652.94x = 15,879,140,708.37
  5. Step 5: Solve for x
    x = 15,879,140,708.37/115,652.94
  6. Step 6: Final answer
    x = 137,299.93

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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.