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Finding the Fourth Proportional to 42,457.90, 63,686.62 and 10,867.90

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Solution

The fourth proportional to 42,457.90, 63,686.62 and 10,867.90 is: 16,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,457.90 : 63,686.62 = 10,867.90 : x
  2. Step 2: Convert to fraction form
    42,457.90/63,686.62 = 10,867.90/x
  3. Step 3: Cross multiply
    42,457.90x = 63,686.62 × 10,867.90
  4. Step 4: Simplify right side
    42,457.90x = 692,139,817.50
  5. Step 5: Solve for x
    x = 692,139,817.50/42,457.90
  6. Step 6: Final answer
    x = 16,301.79

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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.