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Finding the Fourth Proportional to 78,527.84, 108,369.16 and 42,718.64

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Solution

The fourth proportional to 78,527.84, 108,369.16 and 42,718.64 is: 58,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,527.84 : 108,369.16 = 42,718.64 : x
  2. Step 2: Convert to fraction form
    78,527.84/108,369.16 = 42,718.64/x
  3. Step 3: Cross multiply
    78,527.84x = 108,369.16 × 42,718.64
  4. Step 4: Simplify right side
    78,527.84x = 4,629,383,133.14
  5. Step 5: Solve for x
    x = 4,629,383,133.14/78,527.84
  6. Step 6: Final answer
    x = 58,952.13

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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.