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Finding the Fourth Proportional to 102,871.68, 142,009.08 and 60,432.84

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Solution

The fourth proportional to 102,871.68, 142,009.08 and 60,432.84 is: 83,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,871.68 : 142,009.08 = 60,432.84 : x
  2. Step 2: Convert to fraction form
    102,871.68/142,009.08 = 60,432.84/x
  3. Step 3: Cross multiply
    102,871.68x = 142,009.08 × 60,432.84
  4. Step 4: Simplify right side
    102,871.68x = 8,582,012,010.19
  5. Step 5: Solve for x
    x = 8,582,012,010.19/102,871.68
  6. Step 6: Final answer
    x = 83,424.44

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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.