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Finding the Fourth Proportional to 185,762.94, 256,346 and 100,878.18

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Solution

The fourth proportional to 185,762.94, 256,346 and 100,878.18 is: 139,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,762.94 : 256,346 = 100,878.18 : x
  2. Step 2: Convert to fraction form
    185,762.94/256,346 = 100,878.18/x
  3. Step 3: Cross multiply
    185,762.94x = 256,346 × 100,878.18
  4. Step 4: Simplify right side
    185,762.94x = 25,859,717,930.28
  5. Step 5: Solve for x
    x = 25,859,717,930.28/185,762.94
  6. Step 6: Final answer
    x = 139,208.16

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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.