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Finding the Fourth Proportional to 42,647.19, 63,978.08 and 14,565.71

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Solution

The fourth proportional to 42,647.19, 63,978.08 and 14,565.71 is: 21,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,647.19 : 63,978.08 = 14,565.71 : x
  2. Step 2: Convert to fraction form
    42,647.19/63,978.08 = 14,565.71/x
  3. Step 3: Cross multiply
    42,647.19x = 63,978.08 × 14,565.71
  4. Step 4: Simplify right side
    42,647.19x = 931,885,766.92
  5. Step 5: Solve for x
    x = 931,885,766.92/42,647.19
  6. Step 6: Final answer
    x = 21,851.05

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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.