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Finding the Fourth Proportional to 52,457.61, 78,695.13 and 20,867.98

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Solution

The fourth proportional to 52,457.61, 78,695.13 and 20,867.98 is: 31,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457.61 : 78,695.13 = 20,867.98 : x
  2. Step 2: Convert to fraction form
    52,457.61/78,695.13 = 20,867.98/x
  3. Step 3: Cross multiply
    52,457.61x = 78,695.13 × 20,867.98
  4. Step 4: Simplify right side
    52,457.61x = 1,642,208,398.66
  5. Step 5: Solve for x
    x = 1,642,208,398.66/52,457.61
  6. Step 6: Final answer
    x = 31,305.44

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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.