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Finding the Fourth Proportional to 78,684.48, 108,583.16 and 42,874.74

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Solution

The fourth proportional to 78,684.48, 108,583.16 and 42,874.74 is: 59,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684.48 : 108,583.16 = 42,874.74 : x
  2. Step 2: Convert to fraction form
    78,684.48/108,583.16 = 42,874.74/x
  3. Step 3: Cross multiply
    78,684.48x = 108,583.16 × 42,874.74
  4. Step 4: Simplify right side
    78,684.48x = 4,655,474,210.46
  5. Step 5: Solve for x
    x = 4,655,474,210.46/78,684.48
  6. Step 6: Final answer
    x = 59,166.36

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1.5x scale

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.