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Finding the Fourth Proportional to 42,643.40, 63,965.10 and 14,941.40

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Solution

The fourth proportional to 42,643.40, 63,965.10 and 14,941.40 is: 22,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,643.40 : 63,965.10 = 14,941.40 : x
  2. Step 2: Convert to fraction form
    42,643.40/63,965.10 = 14,941.40/x
  3. Step 3: Cross multiply
    42,643.40x = 63,965.10 × 14,941.40
  4. Step 4: Simplify right side
    42,643.40x = 955,728,145.14
  5. Step 5: Solve for x
    x = 955,728,145.14/42,643.40
  6. Step 6: Final answer
    x = 22,412.10

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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.