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Finding the Fourth Proportional to 84,480, 116,582.40 and 49,152

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Solution

The fourth proportional to 84,480, 116,582.40 and 49,152 is: 67,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,480 : 116,582.40 = 49,152 : x
  2. Step 2: Convert to fraction form
    84,480/116,582.40 = 49,152/x
  3. Step 3: Cross multiply
    84,480x = 116,582.40 × 49,152
  4. Step 4: Simplify right side
    84,480x = 5,730,258,124.80
  5. Step 5: Solve for x
    x = 5,730,258,124.80/84,480
  6. Step 6: Final answer
    x = 67,829.76

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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.