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Finding the Fourth Proportional to 225,038.28, 310,583.70 and 135,597

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Solution

The fourth proportional to 225,038.28, 310,583.70 and 135,597 is: 187,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,038.28 : 310,583.70 = 135,597 : x
  2. Step 2: Convert to fraction form
    225,038.28/310,583.70 = 135,597/x
  3. Step 3: Cross multiply
    225,038.28x = 310,583.70 × 135,597
  4. Step 4: Simplify right side
    225,038.28x = 42,114,217,968.90
  5. Step 5: Solve for x
    x = 42,114,217,968.90/225,038.28
  6. Step 6: Final answer
    x = 187,142.46

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1.5x scale

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.