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Finding the Fourth Proportional to 186,393.94, 257,188.29 and 118,421.98

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Solution

The fourth proportional to 186,393.94, 257,188.29 and 118,421.98 is: 163,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,393.94 : 257,188.29 = 118,421.98 : x
  2. Step 2: Convert to fraction form
    186,393.94/257,188.29 = 118,421.98/x
  3. Step 3: Cross multiply
    186,393.94x = 257,188.29 × 118,421.98
  4. Step 4: Simplify right side
    186,393.94x = 30,456,746,534.61
  5. Step 5: Solve for x
    x = 30,456,746,534.61/186,393.94
  6. Step 6: Final answer
    x = 163,399.88

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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.