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Finding the Fourth Proportional to 76,803.68, 105,989.88 and 42,815.14

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Solution

The fourth proportional to 76,803.68, 105,989.88 and 42,815.14 is: 59,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,803.68 : 105,989.88 = 42,815.14 : x
  2. Step 2: Convert to fraction form
    76,803.68/105,989.88 = 42,815.14/x
  3. Step 3: Cross multiply
    76,803.68x = 105,989.88 × 42,815.14
  4. Step 4: Simplify right side
    76,803.68x = 4,537,971,340.26
  5. Step 5: Solve for x
    x = 4,537,971,340.26/76,803.68
  6. Step 6: Final answer
    x = 59,085.34

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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.