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Finding the Fourth Proportional to 42,005.80, 63,008.70 and 30,428.20

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Solution

The fourth proportional to 42,005.80, 63,008.70 and 30,428.20 is: 45,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.80 : 63,008.70 = 30,428.20 : x
  2. Step 2: Convert to fraction form
    42,005.80/63,008.70 = 30,428.20/x
  3. Step 3: Cross multiply
    42,005.80x = 63,008.70 × 30,428.20
  4. Step 4: Simplify right side
    42,005.80x = 1,917,241,325.34
  5. Step 5: Solve for x
    x = 1,917,241,325.34/42,005.80
  6. Step 6: Final answer
    x = 45,642.30

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1.5x scale

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.