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Finding the Fourth Proportional to 102,053.92, 140,834.32 and 56,730.48

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Solution

The fourth proportional to 102,053.92, 140,834.32 and 56,730.48 is: 78,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,053.92 : 140,834.32 = 56,730.48 : x
  2. Step 2: Convert to fraction form
    102,053.92/140,834.32 = 56,730.48/x
  3. Step 3: Cross multiply
    102,053.92x = 140,834.32 × 56,730.48
  4. Step 4: Simplify right side
    102,053.92x = 7,989,598,574.07
  5. Step 5: Solve for x
    x = 7,989,598,574.07/102,053.92
  6. Step 6: Final answer
    x = 78,288.01

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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.