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Finding the Fourth Proportional to 218,731.50, 301,849.47 and 118,129.50

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Solution

The fourth proportional to 218,731.50, 301,849.47 and 118,129.50 is: 163,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,731.50 : 301,849.47 = 118,129.50 : x
  2. Step 2: Convert to fraction form
    218,731.50/301,849.47 = 118,129.50/x
  3. Step 3: Cross multiply
    218,731.50x = 301,849.47 × 118,129.50
  4. Step 4: Simplify right side
    218,731.50x = 35,657,326,966.37
  5. Step 5: Solve for x
    x = 35,657,326,966.37/218,731.50
  6. Step 6: Final answer
    x = 163,018.71

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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.