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Finding the Fourth Proportional to 42,457.50, 63,686.25 and 14,755.50

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Solution

The fourth proportional to 42,457.50, 63,686.25 and 14,755.50 is: 22,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,457.50 : 63,686.25 = 14,755.50 : x
  2. Step 2: Convert to fraction form
    42,457.50/63,686.25 = 14,755.50/x
  3. Step 3: Cross multiply
    42,457.50x = 63,686.25 × 14,755.50
  4. Step 4: Simplify right side
    42,457.50x = 939,722,461.88
  5. Step 5: Solve for x
    x = 939,722,461.88/42,457.50
  6. Step 6: Final answer
    x = 22,133.25

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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.