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Finding the Fourth Proportional to 98,857.92, 136,424.80 and 56,416

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Solution

The fourth proportional to 98,857.92, 136,424.80 and 56,416 is: 77,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,857.92 : 136,424.80 = 56,416 : x
  2. Step 2: Convert to fraction form
    98,857.92/136,424.80 = 56,416/x
  3. Step 3: Cross multiply
    98,857.92x = 136,424.80 × 56,416
  4. Step 4: Simplify right side
    98,857.92x = 7,696,541,516.80
  5. Step 5: Solve for x
    x = 7,696,541,516.80/98,857.92
  6. Step 6: Final answer
    x = 77,854.58

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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.