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Finding the Fourth Proportional to 102,652.88, 153,798.28 and 91,507.28

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Solution

The fourth proportional to 102,652.88, 153,798.28 and 91,507.28 is: 137,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,652.88 : 153,798.28 = 91,507.28 : x
  2. Step 2: Convert to fraction form
    102,652.88/153,798.28 = 91,507.28/x
  3. Step 3: Cross multiply
    102,652.88x = 153,798.28 × 91,507.28
  4. Step 4: Simplify right side
    102,652.88x = 14,073,662,271.48
  5. Step 5: Solve for x
    x = 14,073,662,271.48/102,652.88
  6. Step 6: Final answer
    x = 137,099.54

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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.