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Finding the Fourth Proportional to 114,875.68, 172,284.72 and 81,498.40

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Solution

The fourth proportional to 114,875.68, 172,284.72 and 81,498.40 is: 122,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,875.68 : 172,284.72 = 81,498.40 : x
  2. Step 2: Convert to fraction form
    114,875.68/172,284.72 = 81,498.40/x
  3. Step 3: Cross multiply
    114,875.68x = 172,284.72 × 81,498.40
  4. Step 4: Simplify right side
    114,875.68x = 14,040,929,024.45
  5. Step 5: Solve for x
    x = 14,040,929,024.45/114,875.68
  6. Step 6: Final answer
    x = 122,227.17

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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.