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Finding the Fourth Proportional to 78,248, 107,982.40 and 44,713.92

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Solution

The fourth proportional to 78,248, 107,982.40 and 44,713.92 is: 61,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,248 : 107,982.40 = 44,713.92 : x
  2. Step 2: Convert to fraction form
    78,248/107,982.40 = 44,713.92/x
  3. Step 3: Cross multiply
    78,248x = 107,982.40 × 44,713.92
  4. Step 4: Simplify right side
    78,248x = 4,828,316,395.01
  5. Step 5: Solve for x
    x = 4,828,316,395.01/78,248
  6. Step 6: Final answer
    x = 61,705.30

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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.