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Finding the Fourth Proportional to 147,353.84, 203,421 and 102,066.32

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Solution

The fourth proportional to 147,353.84, 203,421 and 102,066.32 is: 140,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,353.84 : 203,421 = 102,066.32 : x
  2. Step 2: Convert to fraction form
    147,353.84/203,421 = 102,066.32/x
  3. Step 3: Cross multiply
    147,353.84x = 203,421 × 102,066.32
  4. Step 4: Simplify right side
    147,353.84x = 20,762,432,880.72
  5. Step 5: Solve for x
    x = 20,762,432,880.72/147,353.84
  6. Step 6: Final answer
    x = 140,901.88

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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.