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Finding the Fourth Proportional to 53,098.94, 79,649.06 and 13,655.00

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Solution

The fourth proportional to 53,098.94, 79,649.06 and 13,655.00 is: 20,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098.94 : 79,649.06 = 13,655.00 : x
  2. Step 2: Convert to fraction form
    53,098.94/79,649.06 = 13,655.00/x
  3. Step 3: Cross multiply
    53,098.94x = 79,649.06 × 13,655.00
  4. Step 4: Simplify right side
    53,098.94x = 1,087,607,447.78
  5. Step 5: Solve for x
    x = 1,087,607,447.78/53,098.94
  6. Step 6: Final answer
    x = 20,482.66

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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.