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Finding the Fourth Proportional to 159,901.84, 220,661 and 87,302.24

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Solution

The fourth proportional to 159,901.84, 220,661 and 87,302.24 is: 120,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,901.84 : 220,661 = 87,302.24 : x
  2. Step 2: Convert to fraction form
    159,901.84/220,661 = 87,302.24/x
  3. Step 3: Cross multiply
    159,901.84x = 220,661 × 87,302.24
  4. Step 4: Simplify right side
    159,901.84x = 19,264,199,580.64
  5. Step 5: Solve for x
    x = 19,264,199,580.64/159,901.84
  6. Step 6: Final answer
    x = 120,475.16

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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.