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Finding the Fourth Proportional to 42,362.32, 63,564 and 17,420.80

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Solution

The fourth proportional to 42,362.32, 63,564 and 17,420.80 is: 26,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,362.32 : 63,564 = 17,420.80 : x
  2. Step 2: Convert to fraction form
    42,362.32/63,564 = 17,420.80/x
  3. Step 3: Cross multiply
    42,362.32x = 63,564 × 17,420.80
  4. Step 4: Simplify right side
    42,362.32x = 1,107,335,731.20
  5. Step 5: Solve for x
    x = 1,107,335,731.20/42,362.32
  6. Step 6: Final answer
    x = 26,139.64

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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.