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Finding the Fourth Proportional to 186,392.94, 257,186.91 and 118,420.98

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Solution

The fourth proportional to 186,392.94, 257,186.91 and 118,420.98 is: 163,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,392.94 : 257,186.91 = 118,420.98 : x
  2. Step 2: Convert to fraction form
    186,392.94/257,186.91 = 118,420.98/x
  3. Step 3: Cross multiply
    186,392.94x = 257,186.91 × 118,420.98
  4. Step 4: Simplify right side
    186,392.94x = 30,456,325,925.37
  5. Step 5: Solve for x
    x = 30,456,325,925.37/186,392.94
  6. Step 6: Final answer
    x = 163,398.50

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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.