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Finding the Fourth Proportional to 74,259, 102,477.42 and 40,725

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Solution

The fourth proportional to 74,259, 102,477.42 and 40,725 is: 56,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,259 : 102,477.42 = 40,725 : x
  2. Step 2: Convert to fraction form
    74,259/102,477.42 = 40,725/x
  3. Step 3: Cross multiply
    74,259x = 102,477.42 × 40,725
  4. Step 4: Simplify right side
    74,259x = 4,173,392,929.50
  5. Step 5: Solve for x
    x = 4,173,392,929.50/74,259
  6. Step 6: Final answer
    x = 56,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.